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Finding the Fourth Proportional to 9,977.88, 14,966.75 and 2,957.92

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Solution

The fourth proportional to 9,977.88, 14,966.75 and 2,957.92 is: 4,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.88 : 14,966.75 = 2,957.92 : x
  2. Step 2: Convert to fraction form
    9,977.88/14,966.75 = 2,957.92/x
  3. Step 3: Cross multiply
    9,977.88x = 14,966.75 × 2,957.92
  4. Step 4: Simplify right side
    9,977.88x = 44,270,410.82
  5. Step 5: Solve for x
    x = 44,270,410.82/9,977.88
  6. Step 6: Final answer
    x = 4,436.85

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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.