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Finding the Fourth Proportional to 9,494.52, 13,102.02 and 5,302.68

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Solution

The fourth proportional to 9,494.52, 13,102.02 and 5,302.68 is: 7,317.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.52 : 13,102.02 = 5,302.68 : x
  2. Step 2: Convert to fraction form
    9,494.52/13,102.02 = 5,302.68/x
  3. Step 3: Cross multiply
    9,494.52x = 13,102.02 × 5,302.68
  4. Step 4: Simplify right side
    9,494.52x = 69,475,819.41
  5. Step 5: Solve for x
    x = 69,475,819.41/9,494.52
  6. Step 6: Final answer
    x = 7,317.47

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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.