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Finding the Fourth Proportional to 9,236.75, 12,746.78 and 5,045

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Solution

The fourth proportional to 9,236.75, 12,746.78 and 5,045 is: 6,962.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,236.75 : 12,746.78 = 5,045 : x
  2. Step 2: Convert to fraction form
    9,236.75/12,746.78 = 5,045/x
  3. Step 3: Cross multiply
    9,236.75x = 12,746.78 × 5,045
  4. Step 4: Simplify right side
    9,236.75x = 64,307,517.71
  5. Step 5: Solve for x
    x = 64,307,517.71/9,236.75
  6. Step 6: Final answer
    x = 6,962.14

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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.