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Finding the Fourth Proportional to 9,358, 14,037.81 and 2,432.50

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Solution

The fourth proportional to 9,358, 14,037.81 and 2,432.50 is: 3,648.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358 : 14,037.81 = 2,432.50 : x
  2. Step 2: Convert to fraction form
    9,358/14,037.81 = 2,432.50/x
  3. Step 3: Cross multiply
    9,358x = 14,037.81 × 2,432.50
  4. Step 4: Simplify right side
    9,358x = 34,146,972.83
  5. Step 5: Solve for x
    x = 34,146,972.83/9,358
  6. Step 6: Final answer
    x = 3,648.96

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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.