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Finding the Fourth Proportional to 9,565.39, 14,351.73 and 8,637.74

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Solution

The fourth proportional to 9,565.39, 14,351.73 and 8,637.74 is: 12,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,565.39 : 14,351.73 = 8,637.74 : x
  2. Step 2: Convert to fraction form
    9,565.39/14,351.73 = 8,637.74/x
  3. Step 3: Cross multiply
    9,565.39x = 14,351.73 × 8,637.74
  4. Step 4: Simplify right side
    9,565.39x = 123,966,510.55
  5. Step 5: Solve for x
    x = 123,966,510.55/9,565.39
  6. Step 6: Final answer
    x = 12,959.90

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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.