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Finding the Fourth Proportional to 9,934.13, 13,709.48 and 5,458.07

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Solution

The fourth proportional to 9,934.13, 13,709.48 and 5,458.07 is: 7,532.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,934.13 : 13,709.48 = 5,458.07 : x
  2. Step 2: Convert to fraction form
    9,934.13/13,709.48 = 5,458.07/x
  3. Step 3: Cross multiply
    9,934.13x = 13,709.48 × 5,458.07
  4. Step 4: Simplify right side
    9,934.13x = 74,827,205.67
  5. Step 5: Solve for x
    x = 74,827,205.67/9,934.13
  6. Step 6: Final answer
    x = 7,532.34

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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.