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Finding the Fourth Proportional to 9,957.71, 14,922.59 and 7,868.52

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Solution

The fourth proportional to 9,957.71, 14,922.59 and 7,868.52 is: 11,791.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,957.71 : 14,922.59 = 7,868.52 : x
  2. Step 2: Convert to fraction form
    9,957.71/14,922.59 = 7,868.52/x
  3. Step 3: Cross multiply
    9,957.71x = 14,922.59 × 7,868.52
  4. Step 4: Simplify right side
    9,957.71x = 117,418,697.87
  5. Step 5: Solve for x
    x = 117,418,697.87/9,957.71
  6. Step 6: Final answer
    x = 11,791.74

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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.