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Finding the Fourth Proportional to 6,865.69, 9,465.49 and 5,454.06

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Solution

The fourth proportional to 6,865.69, 9,465.49 and 5,454.06 is: 7,519.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,865.69 : 9,465.49 = 5,454.06 : x
  2. Step 2: Convert to fraction form
    6,865.69/9,465.49 = 5,454.06/x
  3. Step 3: Cross multiply
    6,865.69x = 9,465.49 × 5,454.06
  4. Step 4: Simplify right side
    6,865.69x = 51,625,326.53
  5. Step 5: Solve for x
    x = 51,625,326.53/6,865.69
  6. Step 6: Final answer
    x = 7,519.32

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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.