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Finding the Fourth Proportional to 9,188.65, 13,782.06 and 2,953.17

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Solution

The fourth proportional to 9,188.65, 13,782.06 and 2,953.17 is: 4,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.65 : 13,782.06 = 2,953.17 : x
  2. Step 2: Convert to fraction form
    9,188.65/13,782.06 = 2,953.17/x
  3. Step 3: Cross multiply
    9,188.65x = 13,782.06 × 2,953.17
  4. Step 4: Simplify right side
    9,188.65x = 40,700,766.13
  5. Step 5: Solve for x
    x = 40,700,766.13/9,188.65
  6. Step 6: Final answer
    x = 4,429.46

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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.