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Finding the Fourth Proportional to 9,494.47, 13,097.40 and 6,306.91

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Solution

The fourth proportional to 9,494.47, 13,097.40 and 6,306.91 is: 8,700.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.47 : 13,097.40 = 6,306.91 : x
  2. Step 2: Convert to fraction form
    9,494.47/13,097.40 = 6,306.91/x
  3. Step 3: Cross multiply
    9,494.47x = 13,097.40 × 6,306.91
  4. Step 4: Simplify right side
    9,494.47x = 82,604,123.03
  5. Step 5: Solve for x
    x = 82,604,123.03/9,494.47
  6. Step 6: Final answer
    x = 8,700.24

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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.