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Finding the Fourth Proportional to 9,624.50, 13,282.02 and 5,432.75

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Solution

The fourth proportional to 9,624.50, 13,282.02 and 5,432.75 is: 7,497.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624.50 : 13,282.02 = 5,432.75 : x
  2. Step 2: Convert to fraction form
    9,624.50/13,282.02 = 5,432.75/x
  3. Step 3: Cross multiply
    9,624.50x = 13,282.02 × 5,432.75
  4. Step 4: Simplify right side
    9,624.50x = 72,157,894.16
  5. Step 5: Solve for x
    x = 72,157,894.16/9,624.50
  6. Step 6: Final answer
    x = 7,497.31

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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.