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Finding the Fourth Proportional to 9,102.44, 12,557.45 and 5,219.78

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Solution

The fourth proportional to 9,102.44, 12,557.45 and 5,219.78 is: 7,201.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.44 : 12,557.45 = 5,219.78 : x
  2. Step 2: Convert to fraction form
    9,102.44/12,557.45 = 5,219.78/x
  3. Step 3: Cross multiply
    9,102.44x = 12,557.45 × 5,219.78
  4. Step 4: Simplify right side
    9,102.44x = 65,547,126.36
  5. Step 5: Solve for x
    x = 65,547,126.36/9,102.44
  6. Step 6: Final answer
    x = 7,201.05

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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.