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Finding the Fourth Proportional to 9,137.86, 12,610.10 and 4,946.11

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Solution

The fourth proportional to 9,137.86, 12,610.10 and 4,946.11 is: 6,825.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.86 : 12,610.10 = 4,946.11 : x
  2. Step 2: Convert to fraction form
    9,137.86/12,610.10 = 4,946.11/x
  3. Step 3: Cross multiply
    9,137.86x = 12,610.10 × 4,946.11
  4. Step 4: Simplify right side
    9,137.86x = 62,370,922.55
  5. Step 5: Solve for x
    x = 62,370,922.55/9,137.86
  6. Step 6: Final answer
    x = 6,825.55

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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.