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Finding the Fourth Proportional to 9,758.34, 13,463.15 and 5,508.87

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Solution

The fourth proportional to 9,758.34, 13,463.15 and 5,508.87 is: 7,600.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.34 : 13,463.15 = 5,508.87 : x
  2. Step 2: Convert to fraction form
    9,758.34/13,463.15 = 5,508.87/x
  3. Step 3: Cross multiply
    9,758.34x = 13,463.15 × 5,508.87
  4. Step 4: Simplify right side
    9,758.34x = 74,166,715.60
  5. Step 5: Solve for x
    x = 74,166,715.60/9,758.34
  6. Step 6: Final answer
    x = 7,600.34

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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.