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Finding the Fourth Proportional to 6,547.71, 9,036.27 and 3,714.13

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Solution

The fourth proportional to 6,547.71, 9,036.27 and 3,714.13 is: 5,125.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,547.71 : 9,036.27 = 3,714.13 : x
  2. Step 2: Convert to fraction form
    6,547.71/9,036.27 = 3,714.13/x
  3. Step 3: Cross multiply
    6,547.71x = 9,036.27 × 3,714.13
  4. Step 4: Simplify right side
    6,547.71x = 33,561,881.50
  5. Step 5: Solve for x
    x = 33,561,881.50/6,547.71
  6. Step 6: Final answer
    x = 5,125.74

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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.