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Finding the Fourth Proportional to 9,752.82, 14,624.91 and 3,592.50

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Solution

The fourth proportional to 9,752.82, 14,624.91 and 3,592.50 is: 5,387.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,752.82 : 14,624.91 = 3,592.50 : x
  2. Step 2: Convert to fraction form
    9,752.82/14,624.91 = 3,592.50/x
  3. Step 3: Cross multiply
    9,752.82x = 14,624.91 × 3,592.50
  4. Step 4: Simplify right side
    9,752.82x = 52,539,989.18
  5. Step 5: Solve for x
    x = 52,539,989.18/9,752.82
  6. Step 6: Final answer
    x = 5,387.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.