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Finding the Fourth Proportional to 9,463.19, 14,170.16 and 5,059.11

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Solution

The fourth proportional to 9,463.19, 14,170.16 and 5,059.11 is: 7,575.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.19 : 14,170.16 = 5,059.11 : x
  2. Step 2: Convert to fraction form
    9,463.19/14,170.16 = 5,059.11/x
  3. Step 3: Cross multiply
    9,463.19x = 14,170.16 × 5,059.11
  4. Step 4: Simplify right side
    9,463.19x = 71,688,372.86
  5. Step 5: Solve for x
    x = 71,688,372.86/9,463.19
  6. Step 6: Final answer
    x = 7,575.50

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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.