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Finding the Fourth Proportional to 9,806.01, 14,713.12 and 4,264.02

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Solution

The fourth proportional to 9,806.01, 14,713.12 and 4,264.02 is: 6,397.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.01 : 14,713.12 = 4,264.02 : x
  2. Step 2: Convert to fraction form
    9,806.01/14,713.12 = 4,264.02/x
  3. Step 3: Cross multiply
    9,806.01x = 14,713.12 × 4,264.02
  4. Step 4: Simplify right side
    9,806.01x = 62,736,989.90
  5. Step 5: Solve for x
    x = 62,736,989.90/9,806.01
  6. Step 6: Final answer
    x = 6,397.81

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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.