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Finding the Fourth Proportional to 9,550.78, 13,181.28 and 5,359

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Solution

The fourth proportional to 9,550.78, 13,181.28 and 5,359 is: 7,396.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,550.78 : 13,181.28 = 5,359 : x
  2. Step 2: Convert to fraction form
    9,550.78/13,181.28 = 5,359/x
  3. Step 3: Cross multiply
    9,550.78x = 13,181.28 × 5,359
  4. Step 4: Simplify right side
    9,550.78x = 70,638,479.52
  5. Step 5: Solve for x
    x = 70,638,479.52/9,550.78
  6. Step 6: Final answer
    x = 7,396.10

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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.