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Finding the Fourth Proportional to 9,470.51, 13,069.35 and 5,493.97

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Solution

The fourth proportional to 9,470.51, 13,069.35 and 5,493.97 is: 7,581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.51 : 13,069.35 = 5,493.97 : x
  2. Step 2: Convert to fraction form
    9,470.51/13,069.35 = 5,493.97/x
  3. Step 3: Cross multiply
    9,470.51x = 13,069.35 × 5,493.97
  4. Step 4: Simplify right side
    9,470.51x = 71,802,551.47
  5. Step 5: Solve for x
    x = 71,802,551.47/9,470.51
  6. Step 6: Final answer
    x = 7,581.70

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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.