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Finding the Fourth Proportional to 6,145.47, 9,214.56 and 2,859.30

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Solution

The fourth proportional to 6,145.47, 9,214.56 and 2,859.30 is: 4,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.47 : 9,214.56 = 2,859.30 : x
  2. Step 2: Convert to fraction form
    6,145.47/9,214.56 = 2,859.30/x
  3. Step 3: Cross multiply
    6,145.47x = 9,214.56 × 2,859.30
  4. Step 4: Simplify right side
    6,145.47x = 26,347,191.41
  5. Step 5: Solve for x
    x = 26,347,191.41/6,145.47
  6. Step 6: Final answer
    x = 4,287.25

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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.