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Finding the Fourth Proportional to 6,470.12, 9,708.48 and 2,771.36

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Solution

The fourth proportional to 6,470.12, 9,708.48 and 2,771.36 is: 4,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,470.12 : 9,708.48 = 2,771.36 : x
  2. Step 2: Convert to fraction form
    6,470.12/9,708.48 = 2,771.36/x
  3. Step 3: Cross multiply
    6,470.12x = 9,708.48 × 2,771.36
  4. Step 4: Simplify right side
    6,470.12x = 26,905,693.13
  5. Step 5: Solve for x
    x = 26,905,693.13/6,470.12
  6. Step 6: Final answer
    x = 4,158.45

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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.