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Finding the Fourth Proportional to 8,931.92, 12,297.98 and 7,584.69

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Solution

The fourth proportional to 8,931.92, 12,297.98 and 7,584.69 is: 10,443.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.92 : 12,297.98 = 7,584.69 : x
  2. Step 2: Convert to fraction form
    8,931.92/12,297.98 = 7,584.69/x
  3. Step 3: Cross multiply
    8,931.92x = 12,297.98 × 7,584.69
  4. Step 4: Simplify right side
    8,931.92x = 93,276,328.00
  5. Step 5: Solve for x
    x = 93,276,328.00/8,931.92
  6. Step 6: Final answer
    x = 10,443.04

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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.