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Finding the Fourth Proportional to 9,632.64, 13,293.94 and 5,854.92

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Solution

The fourth proportional to 9,632.64, 13,293.94 and 5,854.92 is: 8,080.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.64 : 13,293.94 = 5,854.92 : x
  2. Step 2: Convert to fraction form
    9,632.64/13,293.94 = 5,854.92/x
  3. Step 3: Cross multiply
    9,632.64x = 13,293.94 × 5,854.92
  4. Step 4: Simplify right side
    9,632.64x = 77,834,955.18
  5. Step 5: Solve for x
    x = 77,834,955.18/9,632.64
  6. Step 6: Final answer
    x = 8,080.33

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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.