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Finding the Fourth Proportional to 8,970.30, 12,372.84 and 5,382.81

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Solution

The fourth proportional to 8,970.30, 12,372.84 and 5,382.81 is: 7,424.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,970.30 : 12,372.84 = 5,382.81 : x
  2. Step 2: Convert to fraction form
    8,970.30/12,372.84 = 5,382.81/x
  3. Step 3: Cross multiply
    8,970.30x = 12,372.84 × 5,382.81
  4. Step 4: Simplify right side
    8,970.30x = 66,600,646.88
  5. Step 5: Solve for x
    x = 66,600,646.88/8,970.30
  6. Step 6: Final answer
    x = 7,424.57

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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.