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Finding the Fourth Proportional to 9,714.06, 14,564.34 and 6,417.12

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Solution

The fourth proportional to 9,714.06, 14,564.34 and 6,417.12 is: 9,621.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.06 : 14,564.34 = 6,417.12 : x
  2. Step 2: Convert to fraction form
    9,714.06/14,564.34 = 6,417.12/x
  3. Step 3: Cross multiply
    9,714.06x = 14,564.34 × 6,417.12
  4. Step 4: Simplify right side
    9,714.06x = 93,461,117.50
  5. Step 5: Solve for x
    x = 93,461,117.50/9,714.06
  6. Step 6: Final answer
    x = 9,621.22

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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.