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Finding the Fourth Proportional to 9,642.13, 13,302.22 and 6,283.72

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Solution

The fourth proportional to 9,642.13, 13,302.22 and 6,283.72 is: 8,668.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.13 : 13,302.22 = 6,283.72 : x
  2. Step 2: Convert to fraction form
    9,642.13/13,302.22 = 6,283.72/x
  3. Step 3: Cross multiply
    9,642.13x = 13,302.22 × 6,283.72
  4. Step 4: Simplify right side
    9,642.13x = 83,587,425.86
  5. Step 5: Solve for x
    x = 83,587,425.86/9,642.13
  6. Step 6: Final answer
    x = 8,668.98

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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.