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Finding the Fourth Proportional to 9,368.72, 12,930.24 and 5,785.76

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Solution

The fourth proportional to 9,368.72, 12,930.24 and 5,785.76 is: 7,985.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.72 : 12,930.24 = 5,785.76 : x
  2. Step 2: Convert to fraction form
    9,368.72/12,930.24 = 5,785.76/x
  3. Step 3: Cross multiply
    9,368.72x = 12,930.24 × 5,785.76
  4. Step 4: Simplify right side
    9,368.72x = 74,811,265.38
  5. Step 5: Solve for x
    x = 74,811,265.38/9,368.72
  6. Step 6: Final answer
    x = 7,985.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.