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Finding the Fourth Proportional to 9,348.24, 12,901.50 and 6,986.28

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Solution

The fourth proportional to 9,348.24, 12,901.50 and 6,986.28 is: 9,641.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,348.24 : 12,901.50 = 6,986.28 : x
  2. Step 2: Convert to fraction form
    9,348.24/12,901.50 = 6,986.28/x
  3. Step 3: Cross multiply
    9,348.24x = 12,901.50 × 6,986.28
  4. Step 4: Simplify right side
    9,348.24x = 90,133,491.42
  5. Step 5: Solve for x
    x = 90,133,491.42/9,348.24
  6. Step 6: Final answer
    x = 9,641.76

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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.