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Finding the Fourth Proportional to 9,902.34, 13,664.77 and 5,925.64

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Solution

The fourth proportional to 9,902.34, 13,664.77 and 5,925.64 is: 8,177.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.34 : 13,664.77 = 5,925.64 : x
  2. Step 2: Convert to fraction form
    9,902.34/13,664.77 = 5,925.64/x
  3. Step 3: Cross multiply
    9,902.34x = 13,664.77 × 5,925.64
  4. Step 4: Simplify right side
    9,902.34x = 80,972,507.70
  5. Step 5: Solve for x
    x = 80,972,507.70/9,902.34
  6. Step 6: Final answer
    x = 8,177.11

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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.