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Finding the Fourth Proportional to 9,332.70, 13,999.34 and 4,138.57

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Solution

The fourth proportional to 9,332.70, 13,999.34 and 4,138.57 is: 6,207.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,332.70 : 13,999.34 = 4,138.57 : x
  2. Step 2: Convert to fraction form
    9,332.70/13,999.34 = 4,138.57/x
  3. Step 3: Cross multiply
    9,332.70x = 13,999.34 × 4,138.57
  4. Step 4: Simplify right side
    9,332.70x = 57,937,248.54
  5. Step 5: Solve for x
    x = 57,937,248.54/9,332.70
  6. Step 6: Final answer
    x = 6,207.98

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