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Finding the Fourth Proportional to 9,256.80, 12,774.40 and 5,065.08

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Solution

The fourth proportional to 9,256.80, 12,774.40 and 5,065.08 is: 6,989.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.80 : 12,774.40 = 5,065.08 : x
  2. Step 2: Convert to fraction form
    9,256.80/12,774.40 = 5,065.08/x
  3. Step 3: Cross multiply
    9,256.80x = 12,774.40 × 5,065.08
  4. Step 4: Simplify right side
    9,256.80x = 64,703,357.95
  5. Step 5: Solve for x
    x = 64,703,357.95/9,256.80
  6. Step 6: Final answer
    x = 6,989.82

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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.