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Finding the Fourth Proportional to 8,931.32, 12,331.60 and 5,954.16

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Solution

The fourth proportional to 8,931.32, 12,331.60 and 5,954.16 is: 8,220.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,931.32 : 12,331.60 = 5,954.16 : x
  2. Step 2: Convert to fraction form
    8,931.32/12,331.60 = 5,954.16/x
  3. Step 3: Cross multiply
    8,931.32x = 12,331.60 × 5,954.16
  4. Step 4: Simplify right side
    8,931.32x = 73,424,319.46
  5. Step 5: Solve for x
    x = 73,424,319.46/8,931.32
  6. Step 6: Final answer
    x = 8,220.99

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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.