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Finding the Fourth Proportional to 9,974.95, 14,962.46 and 9,366.01

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Solution

The fourth proportional to 9,974.95, 14,962.46 and 9,366.01 is: 14,049.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,974.95 : 14,962.46 = 9,366.01 : x
  2. Step 2: Convert to fraction form
    9,974.95/14,962.46 = 9,366.01/x
  3. Step 3: Cross multiply
    9,974.95x = 14,962.46 × 9,366.01
  4. Step 4: Simplify right side
    9,974.95x = 140,138,549.98
  5. Step 5: Solve for x
    x = 140,138,549.98/9,974.95
  6. Step 6: Final answer
    x = 14,049.05

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Why These Related Problems?

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