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Finding the Fourth Proportional to 6,216.75, 9,316.38 and 5,288.64

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Solution

The fourth proportional to 6,216.75, 9,316.38 and 5,288.64 is: 7,925.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,216.75 : 9,316.38 = 5,288.64 : x
  2. Step 2: Convert to fraction form
    6,216.75/9,316.38 = 5,288.64/x
  3. Step 3: Cross multiply
    6,216.75x = 9,316.38 × 5,288.64
  4. Step 4: Simplify right side
    6,216.75x = 49,270,954.90
  5. Step 5: Solve for x
    x = 49,270,954.90/6,216.75
  6. Step 6: Final answer
    x = 7,925.52

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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.