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Finding the Fourth Proportional to 9,478.75, 13,081.08 and 5,287

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Solution

The fourth proportional to 9,478.75, 13,081.08 and 5,287 is: 7,296.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.75 : 13,081.08 = 5,287 : x
  2. Step 2: Convert to fraction form
    9,478.75/13,081.08 = 5,287/x
  3. Step 3: Cross multiply
    9,478.75x = 13,081.08 × 5,287
  4. Step 4: Simplify right side
    9,478.75x = 69,159,669.96
  5. Step 5: Solve for x
    x = 69,159,669.96/9,478.75
  6. Step 6: Final answer
    x = 7,296.29

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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.