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Finding the Fourth Proportional to 6,356.64, 9,536.24 and 4,042.40

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Solution

The fourth proportional to 6,356.64, 9,536.24 and 4,042.40 is: 6,064.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.64 : 9,536.24 = 4,042.40 : x
  2. Step 2: Convert to fraction form
    6,356.64/9,536.24 = 4,042.40/x
  3. Step 3: Cross multiply
    6,356.64x = 9,536.24 × 4,042.40
  4. Step 4: Simplify right side
    6,356.64x = 38,549,296.58
  5. Step 5: Solve for x
    x = 38,549,296.58/6,356.64
  6. Step 6: Final answer
    x = 6,064.41

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