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Finding the Fourth Proportional to 9,139.78, 12,612.84 and 4,948

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Solution

The fourth proportional to 9,139.78, 12,612.84 and 4,948 is: 6,828.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,139.78 : 12,612.84 = 4,948 : x
  2. Step 2: Convert to fraction form
    9,139.78/12,612.84 = 4,948/x
  3. Step 3: Cross multiply
    9,139.78x = 12,612.84 × 4,948
  4. Step 4: Simplify right side
    9,139.78x = 62,408,332.32
  5. Step 5: Solve for x
    x = 62,408,332.32/9,139.78
  6. Step 6: Final answer
    x = 6,828.21

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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.