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Finding the Fourth Proportional to 9,808.74, 14,714.88 and 3,577.50

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Solution

The fourth proportional to 9,808.74, 14,714.88 and 3,577.50 is: 5,366.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.74 : 14,714.88 = 3,577.50 : x
  2. Step 2: Convert to fraction form
    9,808.74/14,714.88 = 3,577.50/x
  3. Step 3: Cross multiply
    9,808.74x = 14,714.88 × 3,577.50
  4. Step 4: Simplify right side
    9,808.74x = 52,642,483.20
  5. Step 5: Solve for x
    x = 52,642,483.20/9,808.74
  6. Step 6: Final answer
    x = 5,366.90

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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.