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Finding the Fourth Proportional to 6,397,714.80, 9,577,909.80 and 6,211,090.80

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Solution

The fourth proportional to 6,397,714.80, 9,577,909.80 and 6,211,090.80 is: 9,298,518.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397,714.80 : 9,577,909.80 = 6,211,090.80 : x
  2. Step 2: Convert to fraction form
    6,397,714.80/9,577,909.80 = 6,211,090.80/x
  3. Step 3: Cross multiply
    6,397,714.80x = 9,577,909.80 × 6,211,090.80
  4. Step 4: Simplify right side
    6,397,714.80x = 59,489,267,442,009.84
  5. Step 5: Solve for x
    x = 59,489,267,442,009.84/6,397,714.80
  6. Step 6: Final answer
    x = 9,298,518.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.