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Finding the Fourth Proportional to 9,155.76, 12,634.96 and 4,964

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Solution

The fourth proportional to 9,155.76, 12,634.96 and 4,964 is: 6,850.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,155.76 : 12,634.96 = 4,964 : x
  2. Step 2: Convert to fraction form
    9,155.76/12,634.96 = 4,964/x
  3. Step 3: Cross multiply
    9,155.76x = 12,634.96 × 4,964
  4. Step 4: Simplify right side
    9,155.76x = 62,719,941.44
  5. Step 5: Solve for x
    x = 62,719,941.44/9,155.76
  6. Step 6: Final answer
    x = 6,850.33

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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.