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Finding the Fourth Proportional to 9,742.38, 13,448.75 and 6,210.24

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Solution

The fourth proportional to 9,742.38, 13,448.75 and 6,210.24 is: 8,572.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,742.38 : 13,448.75 = 6,210.24 : x
  2. Step 2: Convert to fraction form
    9,742.38/13,448.75 = 6,210.24/x
  3. Step 3: Cross multiply
    9,742.38x = 13,448.75 × 6,210.24
  4. Step 4: Simplify right side
    9,742.38x = 83,519,934.15
  5. Step 5: Solve for x
    x = 83,519,934.15/9,742.38
  6. Step 6: Final answer
    x = 8,572.85

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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.