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Finding the Fourth Proportional to 6,641.76, 9,159.72 and 5,242.08

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Solution

The fourth proportional to 6,641.76, 9,159.72 and 5,242.08 is: 7,229.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.76 : 9,159.72 = 5,242.08 : x
  2. Step 2: Convert to fraction form
    6,641.76/9,159.72 = 5,242.08/x
  3. Step 3: Cross multiply
    6,641.76x = 9,159.72 × 5,242.08
  4. Step 4: Simplify right side
    6,641.76x = 48,015,985.02
  5. Step 5: Solve for x
    x = 48,015,985.02/6,641.76
  6. Step 6: Final answer
    x = 7,229.41

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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.