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Finding the Fourth Proportional to 6,042.71, 9,055.31 and 4,291.15

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Solution

The fourth proportional to 6,042.71, 9,055.31 and 4,291.15 is: 6,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,042.71 : 9,055.31 = 4,291.15 : x
  2. Step 2: Convert to fraction form
    6,042.71/9,055.31 = 4,291.15/x
  3. Step 3: Cross multiply
    6,042.71x = 9,055.31 × 4,291.15
  4. Step 4: Simplify right side
    6,042.71x = 38,857,665.50
  5. Step 5: Solve for x
    x = 38,857,665.50/6,042.71
  6. Step 6: Final answer
    x = 6,430.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.