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Finding the Fourth Proportional to 6,776.33, 9,340.52 and 5,715.63

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Solution

The fourth proportional to 6,776.33, 9,340.52 and 5,715.63 is: 7,878.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,776.33 : 9,340.52 = 5,715.63 : x
  2. Step 2: Convert to fraction form
    6,776.33/9,340.52 = 5,715.63/x
  3. Step 3: Cross multiply
    6,776.33x = 9,340.52 × 5,715.63
  4. Step 4: Simplify right side
    6,776.33x = 53,386,927.75
  5. Step 5: Solve for x
    x = 53,386,927.75/6,776.33
  6. Step 6: Final answer
    x = 7,878.45

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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.