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Finding the Fourth Proportional to 9,714.12, 14,569.02 and 3,869.16

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Solution

The fourth proportional to 9,714.12, 14,569.02 and 3,869.16 is: 5,802.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,714.12 : 14,569.02 = 3,869.16 : x
  2. Step 2: Convert to fraction form
    9,714.12/14,569.02 = 3,869.16/x
  3. Step 3: Cross multiply
    9,714.12x = 14,569.02 × 3,869.16
  4. Step 4: Simplify right side
    9,714.12x = 56,369,869.42
  5. Step 5: Solve for x
    x = 56,369,869.42/9,714.12
  6. Step 6: Final answer
    x = 5,802.88

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