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Finding the Fourth Proportional to 9,902.97, 13,666.02 and 5,426.72

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Solution

The fourth proportional to 9,902.97, 13,666.02 and 5,426.72 is: 7,488.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.97 : 13,666.02 = 5,426.72 : x
  2. Step 2: Convert to fraction form
    9,902.97/13,666.02 = 5,426.72/x
  3. Step 3: Cross multiply
    9,902.97x = 13,666.02 × 5,426.72
  4. Step 4: Simplify right side
    9,902.97x = 74,161,595.72
  5. Step 5: Solve for x
    x = 74,161,595.72/9,902.97
  6. Step 6: Final answer
    x = 7,488.82

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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.