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Finding the Fourth Proportional to 9,624, 13,280.40 and 5,432.16

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Solution

The fourth proportional to 9,624, 13,280.40 and 5,432.16 is: 7,495.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,624 : 13,280.40 = 5,432.16 : x
  2. Step 2: Convert to fraction form
    9,624/13,280.40 = 5,432.16/x
  3. Step 3: Cross multiply
    9,624x = 13,280.40 × 5,432.16
  4. Step 4: Simplify right side
    9,624x = 72,141,257.66
  5. Step 5: Solve for x
    x = 72,141,257.66/9,624
  6. Step 6: Final answer
    x = 7,495.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.