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Finding the Fourth Proportional to 9,446.17, 14,159.22 and 4,509.04

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Solution

The fourth proportional to 9,446.17, 14,159.22 and 4,509.04 is: 6,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.17 : 14,159.22 = 4,509.04 : x
  2. Step 2: Convert to fraction form
    9,446.17/14,159.22 = 4,509.04/x
  3. Step 3: Cross multiply
    9,446.17x = 14,159.22 × 4,509.04
  4. Step 4: Simplify right side
    9,446.17x = 63,844,489.35
  5. Step 5: Solve for x
    x = 63,844,489.35/9,446.17
  6. Step 6: Final answer
    x = 6,758.77

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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.