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Finding the Fourth Proportional to 9,658.52, 13,328.16 and 5,350.76

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Solution

The fourth proportional to 9,658.52, 13,328.16 and 5,350.76 is: 7,383.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.52 : 13,328.16 = 5,350.76 : x
  2. Step 2: Convert to fraction form
    9,658.52/13,328.16 = 5,350.76/x
  3. Step 3: Cross multiply
    9,658.52x = 13,328.16 × 5,350.76
  4. Step 4: Simplify right side
    9,658.52x = 71,315,785.40
  5. Step 5: Solve for x
    x = 71,315,785.40/9,658.52
  6. Step 6: Final answer
    x = 7,383.72

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