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Finding the Fourth Proportional to 9,934.65, 13,710.06 and 5,458.49

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Solution

The fourth proportional to 9,934.65, 13,710.06 and 5,458.49 is: 7,532.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.65 : 13,710.06 = 5,458.49 : x
  2. Step 2: Convert to fraction form
    9,934.65/13,710.06 = 5,458.49/x
  3. Step 3: Cross multiply
    9,934.65x = 13,710.06 × 5,458.49
  4. Step 4: Simplify right side
    9,934.65x = 74,836,208.27
  5. Step 5: Solve for x
    x = 74,836,208.27/9,934.65
  6. Step 6: Final answer
    x = 7,532.85

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