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Finding the Fourth Proportional to 9,618.65, 14,395.16 and 5,923.43

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Solution

The fourth proportional to 9,618.65, 14,395.16 and 5,923.43 is: 8,864.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,618.65 : 14,395.16 = 5,923.43 : x
  2. Step 2: Convert to fraction form
    9,618.65/14,395.16 = 5,923.43/x
  3. Step 3: Cross multiply
    9,618.65x = 14,395.16 × 5,923.43
  4. Step 4: Simplify right side
    9,618.65x = 85,268,621.01
  5. Step 5: Solve for x
    x = 85,268,621.01/9,618.65
  6. Step 6: Final answer
    x = 8,864.93

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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.