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Finding the Fourth Proportional to 6,657.04, 9,191.10 and 4,142.80

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Solution

The fourth proportional to 6,657.04, 9,191.10 and 4,142.80 is: 5,719.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,657.04 : 9,191.10 = 4,142.80 : x
  2. Step 2: Convert to fraction form
    6,657.04/9,191.10 = 4,142.80/x
  3. Step 3: Cross multiply
    6,657.04x = 9,191.10 × 4,142.80
  4. Step 4: Simplify right side
    6,657.04x = 38,076,889.08
  5. Step 5: Solve for x
    x = 38,076,889.08/6,657.04
  6. Step 6: Final answer
    x = 5,719.79

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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.