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Finding the Fourth Proportional to 6,630.72, 9,146.54 and 4,142.40

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Solution

The fourth proportional to 6,630.72, 9,146.54 and 4,142.40 is: 5,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.72 : 9,146.54 = 4,142.40 : x
  2. Step 2: Convert to fraction form
    6,630.72/9,146.54 = 4,142.40/x
  3. Step 3: Cross multiply
    6,630.72x = 9,146.54 × 4,142.40
  4. Step 4: Simplify right side
    6,630.72x = 37,888,627.30
  5. Step 5: Solve for x
    x = 37,888,627.30/6,630.72
  6. Step 6: Final answer
    x = 5,714.10

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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.