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Finding the Fourth Proportional to 9,494.97, 13,098.09 and 6,307.41

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Solution

The fourth proportional to 9,494.97, 13,098.09 and 6,307.41 is: 8,700.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.97 : 13,098.09 = 6,307.41 : x
  2. Step 2: Convert to fraction form
    9,494.97/13,098.09 = 6,307.41/x
  3. Step 3: Cross multiply
    9,494.97x = 13,098.09 × 6,307.41
  4. Step 4: Simplify right side
    9,494.97x = 82,615,023.85
  5. Step 5: Solve for x
    x = 82,615,023.85/9,494.97
  6. Step 6: Final answer
    x = 8,700.93

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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.