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Finding the Fourth Proportional to 9,624.28, 13,281.12 and 5,432.50

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Solution

The fourth proportional to 9,624.28, 13,281.12 and 5,432.50 is: 7,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.28 : 13,281.12 = 5,432.50 : x
  2. Step 2: Convert to fraction form
    9,624.28/13,281.12 = 5,432.50/x
  3. Step 3: Cross multiply
    9,624.28x = 13,281.12 × 5,432.50
  4. Step 4: Simplify right side
    9,624.28x = 72,149,684.40
  5. Step 5: Solve for x
    x = 72,149,684.40/9,624.28
  6. Step 6: Final answer
    x = 7,496.63

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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.