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Finding the Fourth Proportional to 6,244.17, 9,366.04 and 1,564.22

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Solution

The fourth proportional to 6,244.17, 9,366.04 and 1,564.22 is: 2,346.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,244.17 : 9,366.04 = 1,564.22 : x
  2. Step 2: Convert to fraction form
    6,244.17/9,366.04 = 1,564.22/x
  3. Step 3: Cross multiply
    6,244.17x = 9,366.04 × 1,564.22
  4. Step 4: Simplify right side
    6,244.17x = 14,650,565.14
  5. Step 5: Solve for x
    x = 14,650,565.14/6,244.17
  6. Step 6: Final answer
    x = 2,346.28

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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.