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Finding the Fourth Proportional to 9,934.38, 13,709.52 and 5,458.02

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Solution

The fourth proportional to 9,934.38, 13,709.52 and 5,458.02 is: 7,532.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.38 : 13,709.52 = 5,458.02 : x
  2. Step 2: Convert to fraction form
    9,934.38/13,709.52 = 5,458.02/x
  3. Step 3: Cross multiply
    9,934.38x = 13,709.52 × 5,458.02
  4. Step 4: Simplify right side
    9,934.38x = 74,826,782.94
  5. Step 5: Solve for x
    x = 74,826,782.94/9,934.38
  6. Step 6: Final answer
    x = 7,532.10

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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.