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Finding the Fourth Proportional to 9,547.14, 13,167.99 and 6,397.86

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Solution

The fourth proportional to 9,547.14, 13,167.99 and 6,397.86 is: 8,824.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,547.14 : 13,167.99 = 6,397.86 : x
  2. Step 2: Convert to fraction form
    9,547.14/13,167.99 = 6,397.86/x
  3. Step 3: Cross multiply
    9,547.14x = 13,167.99 × 6,397.86
  4. Step 4: Simplify right side
    9,547.14x = 84,246,956.50
  5. Step 5: Solve for x
    x = 84,246,956.50/9,547.14
  6. Step 6: Final answer
    x = 8,824.31

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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.