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Finding the Fourth Proportional to 9,138.39, 12,610.98 and 4,946.64

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Solution

The fourth proportional to 9,138.39, 12,610.98 and 4,946.64 is: 6,826.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.39 : 12,610.98 = 4,946.64 : x
  2. Step 2: Convert to fraction form
    9,138.39/12,610.98 = 4,946.64/x
  3. Step 3: Cross multiply
    9,138.39x = 12,610.98 × 4,946.64
  4. Step 4: Simplify right side
    9,138.39x = 62,381,978.11
  5. Step 5: Solve for x
    x = 62,381,978.11/9,138.39
  6. Step 6: Final answer
    x = 6,826.36

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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.