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Finding the Fourth Proportional to 9,904.71, 13,668.98 and 5,714.31

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Solution

The fourth proportional to 9,904.71, 13,668.98 and 5,714.31 is: 7,886.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.71 : 13,668.98 = 5,714.31 : x
  2. Step 2: Convert to fraction form
    9,904.71/13,668.98 = 5,714.31/x
  3. Step 3: Cross multiply
    9,904.71x = 13,668.98 × 5,714.31
  4. Step 4: Simplify right side
    9,904.71x = 78,108,760.53
  5. Step 5: Solve for x
    x = 78,108,760.53/9,904.71
  6. Step 6: Final answer
    x = 7,886.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.