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Finding the Fourth Proportional to 9,471.52, 13,070.55 and 5,438.26

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Solution

The fourth proportional to 9,471.52, 13,070.55 and 5,438.26 is: 7,504.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.52 : 13,070.55 = 5,438.26 : x
  2. Step 2: Convert to fraction form
    9,471.52/13,070.55 = 5,438.26/x
  3. Step 3: Cross multiply
    9,471.52x = 13,070.55 × 5,438.26
  4. Step 4: Simplify right side
    9,471.52x = 71,081,115.09
  5. Step 5: Solve for x
    x = 71,081,115.09/9,471.52
  6. Step 6: Final answer
    x = 7,504.72

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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.