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Finding the Fourth Proportional to 9,641.64, 13,305.66 and 5,449.86

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Solution

The fourth proportional to 9,641.64, 13,305.66 and 5,449.86 is: 7,520.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.64 : 13,305.66 = 5,449.86 : x
  2. Step 2: Convert to fraction form
    9,641.64/13,305.66 = 5,449.86/x
  3. Step 3: Cross multiply
    9,641.64x = 13,305.66 × 5,449.86
  4. Step 4: Simplify right side
    9,641.64x = 72,513,984.21
  5. Step 5: Solve for x
    x = 72,513,984.21/9,641.64
  6. Step 6: Final answer
    x = 7,520.92

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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.