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Finding the Fourth Proportional to 9,473.85, 13,070.25 and 5,494.23

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Solution

The fourth proportional to 9,473.85, 13,070.25 and 5,494.23 is: 7,579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.85 : 13,070.25 = 5,494.23 : x
  2. Step 2: Convert to fraction form
    9,473.85/13,070.25 = 5,494.23/x
  3. Step 3: Cross multiply
    9,473.85x = 13,070.25 × 5,494.23
  4. Step 4: Simplify right side
    9,473.85x = 71,810,959.66
  5. Step 5: Solve for x
    x = 71,810,959.66/9,473.85
  6. Step 6: Final answer
    x = 7,579.91

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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.