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Finding the Fourth Proportional to 9,982.87, 14,973.78 and 2,962.93

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Solution

The fourth proportional to 9,982.87, 14,973.78 and 2,962.93 is: 4,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,982.87 : 14,973.78 = 2,962.93 : x
  2. Step 2: Convert to fraction form
    9,982.87/14,973.78 = 2,962.93/x
  3. Step 3: Cross multiply
    9,982.87x = 14,973.78 × 2,962.93
  4. Step 4: Simplify right side
    9,982.87x = 44,366,261.98
  5. Step 5: Solve for x
    x = 44,366,261.98/9,982.87
  6. Step 6: Final answer
    x = 4,444.24

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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.