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Finding the Fourth Proportional to 9,217.03, 12,715.89 and 5,182.93

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Solution

The fourth proportional to 9,217.03, 12,715.89 and 5,182.93 is: 7,150.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,217.03 : 12,715.89 = 5,182.93 : x
  2. Step 2: Convert to fraction form
    9,217.03/12,715.89 = 5,182.93/x
  3. Step 3: Cross multiply
    9,217.03x = 12,715.89 × 5,182.93
  4. Step 4: Simplify right side
    9,217.03x = 65,905,567.76
  5. Step 5: Solve for x
    x = 65,905,567.76/9,217.03
  6. Step 6: Final answer
    x = 7,150.41

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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.