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Finding the Fourth Proportional to 9,663.81, 14,492.52 and 3,737.95

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Solution

The fourth proportional to 9,663.81, 14,492.52 and 3,737.95 is: 5,605.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.81 : 14,492.52 = 3,737.95 : x
  2. Step 2: Convert to fraction form
    9,663.81/14,492.52 = 3,737.95/x
  3. Step 3: Cross multiply
    9,663.81x = 14,492.52 × 3,737.95
  4. Step 4: Simplify right side
    9,663.81x = 54,172,278.90
  5. Step 5: Solve for x
    x = 54,172,278.90/9,663.81
  6. Step 6: Final answer
    x = 5,605.69

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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.