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Finding the Fourth Proportional to 9,598.98, 13,246.38 and 5,350.02

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Solution

The fourth proportional to 9,598.98, 13,246.38 and 5,350.02 is: 7,382.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,598.98 : 13,246.38 = 5,350.02 : x
  2. Step 2: Convert to fraction form
    9,598.98/13,246.38 = 5,350.02/x
  3. Step 3: Cross multiply
    9,598.98x = 13,246.38 × 5,350.02
  4. Step 4: Simplify right side
    9,598.98x = 70,868,397.93
  5. Step 5: Solve for x
    x = 70,868,397.93/9,598.98
  6. Step 6: Final answer
    x = 7,382.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.