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Finding the Fourth Proportional to 8,931.69, 12,297.69 and 7,584.53

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Solution

The fourth proportional to 8,931.69, 12,297.69 and 7,584.53 is: 10,442.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.69 : 12,297.69 = 7,584.53 : x
  2. Step 2: Convert to fraction form
    8,931.69/12,297.69 = 7,584.53/x
  3. Step 3: Cross multiply
    8,931.69x = 12,297.69 × 7,584.53
  4. Step 4: Simplify right side
    8,931.69x = 93,272,137.25
  5. Step 5: Solve for x
    x = 93,272,137.25/8,931.69
  6. Step 6: Final answer
    x = 10,442.83

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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.