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Finding the Fourth Proportional to 9,632.88, 13,293.20 and 5,384.02

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Solution

The fourth proportional to 9,632.88, 13,293.20 and 5,384.02 is: 7,429.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.88 : 13,293.20 = 5,384.02 : x
  2. Step 2: Convert to fraction form
    9,632.88/13,293.20 = 5,384.02/x
  3. Step 3: Cross multiply
    9,632.88x = 13,293.20 × 5,384.02
  4. Step 4: Simplify right side
    9,632.88x = 71,570,854.66
  5. Step 5: Solve for x
    x = 71,570,854.66/9,632.88
  6. Step 6: Final answer
    x = 7,429.85

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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.