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Finding the Fourth Proportional to 9,256.88, 12,774.50 and 5,065.13

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Solution

The fourth proportional to 9,256.88, 12,774.50 and 5,065.13 is: 6,989.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.88 : 12,774.50 = 5,065.13 : x
  2. Step 2: Convert to fraction form
    9,256.88/12,774.50 = 5,065.13/x
  3. Step 3: Cross multiply
    9,256.88x = 12,774.50 × 5,065.13
  4. Step 4: Simplify right side
    9,256.88x = 64,704,413.99
  5. Step 5: Solve for x
    x = 64,704,413.99/9,256.88
  6. Step 6: Final answer
    x = 6,989.88

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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.