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Finding the Fourth Proportional to 9,882.79, 13,637.67 and 5,405.65

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Solution

The fourth proportional to 9,882.79, 13,637.67 and 5,405.65 is: 7,459.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.79 : 13,637.67 = 5,405.65 : x
  2. Step 2: Convert to fraction form
    9,882.79/13,637.67 = 5,405.65/x
  3. Step 3: Cross multiply
    9,882.79x = 13,637.67 × 5,405.65
  4. Step 4: Simplify right side
    9,882.79x = 73,720,416.47
  5. Step 5: Solve for x
    x = 73,720,416.47/9,882.79
  6. Step 6: Final answer
    x = 7,459.48

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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.