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Finding the Fourth Proportional to 9,600.40, 13,248.12 and 5,351.93

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Solution

The fourth proportional to 9,600.40, 13,248.12 and 5,351.93 is: 7,385.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.40 : 13,248.12 = 5,351.93 : x
  2. Step 2: Convert to fraction form
    9,600.40/13,248.12 = 5,351.93/x
  3. Step 3: Cross multiply
    9,600.40x = 13,248.12 × 5,351.93
  4. Step 4: Simplify right side
    9,600.40x = 70,903,014.38
  5. Step 5: Solve for x
    x = 70,903,014.38/9,600.40
  6. Step 6: Final answer
    x = 7,385.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.