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Finding the Fourth Proportional to 9,902.81, 13,665.66 and 5,426.47

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Solution

The fourth proportional to 9,902.81, 13,665.66 and 5,426.47 is: 7,488.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.81 : 13,665.66 = 5,426.47 : x
  2. Step 2: Convert to fraction form
    9,902.81/13,665.66 = 5,426.47/x
  3. Step 3: Cross multiply
    9,902.81x = 13,665.66 × 5,426.47
  4. Step 4: Simplify right side
    9,902.81x = 74,156,225.69
  5. Step 5: Solve for x
    x = 74,156,225.69/9,902.81
  6. Step 6: Final answer
    x = 7,488.40

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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.