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Finding the Fourth Proportional to 9,671.68, 13,348.02 and 5,423.41

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Solution

The fourth proportional to 9,671.68, 13,348.02 and 5,423.41 is: 7,484.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.68 : 13,348.02 = 5,423.41 : x
  2. Step 2: Convert to fraction form
    9,671.68/13,348.02 = 5,423.41/x
  3. Step 3: Cross multiply
    9,671.68x = 13,348.02 × 5,423.41
  4. Step 4: Simplify right side
    9,671.68x = 72,391,785.15
  5. Step 5: Solve for x
    x = 72,391,785.15/9,671.68
  6. Step 6: Final answer
    x = 7,484.92

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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.