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Finding the Fourth Proportional to 8,970.50, 12,369.92 and 5,432.42

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Solution

The fourth proportional to 8,970.50, 12,369.92 and 5,432.42 is: 7,491.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.50 : 12,369.92 = 5,432.42 : x
  2. Step 2: Convert to fraction form
    8,970.50/12,369.92 = 5,432.42/x
  3. Step 3: Cross multiply
    8,970.50x = 12,369.92 × 5,432.42
  4. Step 4: Simplify right side
    8,970.50x = 67,198,600.81
  5. Step 5: Solve for x
    x = 67,198,600.81/8,970.50
  6. Step 6: Final answer
    x = 7,491.07

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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.