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Finding the Fourth Proportional to 9,151.52, 12,628.31 and 5,323.86

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Solution

The fourth proportional to 9,151.52, 12,628.31 and 5,323.86 is: 7,346.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,151.52 : 12,628.31 = 5,323.86 : x
  2. Step 2: Convert to fraction form
    9,151.52/12,628.31 = 5,323.86/x
  3. Step 3: Cross multiply
    9,151.52x = 12,628.31 × 5,323.86
  4. Step 4: Simplify right side
    9,151.52x = 67,231,327.86
  5. Step 5: Solve for x
    x = 67,231,327.86/9,151.52
  6. Step 6: Final answer
    x = 7,346.47

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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.