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Finding the Fourth Proportional to 9,424.86, 14,135.45 and 8,956.47

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Solution

The fourth proportional to 9,424.86, 14,135.45 and 8,956.47 is: 13,432.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,424.86 : 14,135.45 = 8,956.47 : x
  2. Step 2: Convert to fraction form
    9,424.86/14,135.45 = 8,956.47/x
  3. Step 3: Cross multiply
    9,424.86x = 14,135.45 × 8,956.47
  4. Step 4: Simplify right side
    9,424.86x = 126,603,689.08
  5. Step 5: Solve for x
    x = 126,603,689.08/9,424.86
  6. Step 6: Final answer
    x = 13,432.95

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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.