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Finding the Fourth Proportional to 9,358.40, 12,916.80 and 5,381.81

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Solution

The fourth proportional to 9,358.40, 12,916.80 and 5,381.81 is: 7,428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.40 : 12,916.80 = 5,381.81 : x
  2. Step 2: Convert to fraction form
    9,358.40/12,916.80 = 5,381.81/x
  3. Step 3: Cross multiply
    9,358.40x = 12,916.80 × 5,381.81
  4. Step 4: Simplify right side
    9,358.40x = 69,515,747.26
  5. Step 5: Solve for x
    x = 69,515,747.26/9,358.40
  6. Step 6: Final answer
    x = 7,428.16

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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.