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Finding the Fourth Proportional to 6,275.19, 9,412.34 and 2,944.17

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Solution

The fourth proportional to 6,275.19, 9,412.34 and 2,944.17 is: 4,416.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.19 : 9,412.34 = 2,944.17 : x
  2. Step 2: Convert to fraction form
    6,275.19/9,412.34 = 2,944.17/x
  3. Step 3: Cross multiply
    6,275.19x = 9,412.34 × 2,944.17
  4. Step 4: Simplify right side
    6,275.19x = 27,711,529.06
  5. Step 5: Solve for x
    x = 27,711,529.06/6,275.19
  6. Step 6: Final answer
    x = 4,416.05

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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.