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Finding the Fourth Proportional to 6,509.22, 8,986.59 and 4,275

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Solution

The fourth proportional to 6,509.22, 8,986.59 and 4,275 is: 5,902.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.22 : 8,986.59 = 4,275 : x
  2. Step 2: Convert to fraction form
    6,509.22/8,986.59 = 4,275/x
  3. Step 3: Cross multiply
    6,509.22x = 8,986.59 × 4,275
  4. Step 4: Simplify right side
    6,509.22x = 38,417,672.25
  5. Step 5: Solve for x
    x = 38,417,672.25/6,509.22
  6. Step 6: Final answer
    x = 5,902.04

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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.