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Finding the Fourth Proportional to 6,656.76, 9,191.52 and 4,142.52

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Solution

The fourth proportional to 6,656.76, 9,191.52 and 4,142.52 is: 5,719.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,656.76 : 9,191.52 = 4,142.52 : x
  2. Step 2: Convert to fraction form
    6,656.76/9,191.52 = 4,142.52/x
  3. Step 3: Cross multiply
    6,656.76x = 9,191.52 × 4,142.52
  4. Step 4: Simplify right side
    6,656.76x = 38,076,055.43
  5. Step 5: Solve for x
    x = 38,076,055.43/6,656.76
  6. Step 6: Final answer
    x = 5,719.91

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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.