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Finding the Fourth Proportional to 9,643.08, 14,439.21 and 7,758.93

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Solution

The fourth proportional to 9,643.08, 14,439.21 and 7,758.93 is: 11,617.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,643.08 : 14,439.21 = 7,758.93 : x
  2. Step 2: Convert to fraction form
    9,643.08/14,439.21 = 7,758.93/x
  3. Step 3: Cross multiply
    9,643.08x = 14,439.21 × 7,758.93
  4. Step 4: Simplify right side
    9,643.08x = 112,032,819.65
  5. Step 5: Solve for x
    x = 112,032,819.65/9,643.08
  6. Step 6: Final answer
    x = 11,617.95

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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.