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Finding the Fourth Proportional to 9,002.56, 12,423.70 and 4,969.86

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Solution

The fourth proportional to 9,002.56, 12,423.70 and 4,969.86 is: 6,858.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,002.56 : 12,423.70 = 4,969.86 : x
  2. Step 2: Convert to fraction form
    9,002.56/12,423.70 = 4,969.86/x
  3. Step 3: Cross multiply
    9,002.56x = 12,423.70 × 4,969.86
  4. Step 4: Simplify right side
    9,002.56x = 61,744,086.17
  5. Step 5: Solve for x
    x = 61,744,086.17/9,002.56
  6. Step 6: Final answer
    x = 6,858.50

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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.