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Finding the Fourth Proportional to 9,723.66, 14,585.54 and 5,338.72

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Solution

The fourth proportional to 9,723.66, 14,585.54 and 5,338.72 is: 8,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723.66 : 14,585.54 = 5,338.72 : x
  2. Step 2: Convert to fraction form
    9,723.66/14,585.54 = 5,338.72/x
  3. Step 3: Cross multiply
    9,723.66x = 14,585.54 × 5,338.72
  4. Step 4: Simplify right side
    9,723.66x = 77,868,114.11
  5. Step 5: Solve for x
    x = 77,868,114.11/9,723.66
  6. Step 6: Final answer
    x = 8,008.11

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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.