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Finding the Fourth Proportional to 6,317.36, 9,480.14 and 2,854.64

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Solution

The fourth proportional to 6,317.36, 9,480.14 and 2,854.64 is: 4,283.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.36 : 9,480.14 = 2,854.64 : x
  2. Step 2: Convert to fraction form
    6,317.36/9,480.14 = 2,854.64/x
  3. Step 3: Cross multiply
    6,317.36x = 9,480.14 × 2,854.64
  4. Step 4: Simplify right side
    6,317.36x = 27,062,386.85
  5. Step 5: Solve for x
    x = 27,062,386.85/6,317.36
  6. Step 6: Final answer
    x = 4,283.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.