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Finding the Fourth Proportional to 12,565.78, 17,343.02 and 9,394.99

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Solution

The fourth proportional to 12,565.78, 17,343.02 and 9,394.99 is: 12,966.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.78 : 17,343.02 = 9,394.99 : x
  2. Step 2: Convert to fraction form
    12,565.78/17,343.02 = 9,394.99/x
  3. Step 3: Cross multiply
    12,565.78x = 17,343.02 × 9,394.99
  4. Step 4: Simplify right side
    12,565.78x = 162,937,499.47
  5. Step 5: Solve for x
    x = 162,937,499.47/12,565.78
  6. Step 6: Final answer
    x = 12,966.76

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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.