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Finding the Fourth Proportional to 9,328.32, 12,869.82 and 5,348.16

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Solution

The fourth proportional to 9,328.32, 12,869.82 and 5,348.16 is: 7,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.32 : 12,869.82 = 5,348.16 : x
  2. Step 2: Convert to fraction form
    9,328.32/12,869.82 = 5,348.16/x
  3. Step 3: Cross multiply
    9,328.32x = 12,869.82 × 5,348.16
  4. Step 4: Simplify right side
    9,328.32x = 68,829,856.53
  5. Step 5: Solve for x
    x = 68,829,856.53/9,328.32
  6. Step 6: Final answer
    x = 7,378.59

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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.