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Finding the Fourth Proportional to 9,718.40, 14,550.87 and 7,371.47

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Solution

The fourth proportional to 9,718.40, 14,550.87 and 7,371.47 is: 11,036.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,718.40 : 14,550.87 = 7,371.47 : x
  2. Step 2: Convert to fraction form
    9,718.40/14,550.87 = 7,371.47/x
  3. Step 3: Cross multiply
    9,718.40x = 14,550.87 × 7,371.47
  4. Step 4: Simplify right side
    9,718.40x = 107,261,301.68
  5. Step 5: Solve for x
    x = 107,261,301.68/9,718.40
  6. Step 6: Final answer
    x = 11,036.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.