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Finding the Fourth Proportional to 9,219.66, 13,816.72 and 5,054.64

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Solution

The fourth proportional to 9,219.66, 13,816.72 and 5,054.64 is: 7,574.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.66 : 13,816.72 = 5,054.64 : x
  2. Step 2: Convert to fraction form
    9,219.66/13,816.72 = 5,054.64/x
  3. Step 3: Cross multiply
    9,219.66x = 13,816.72 × 5,054.64
  4. Step 4: Simplify right side
    9,219.66x = 69,838,545.58
  5. Step 5: Solve for x
    x = 69,838,545.58/9,219.66
  6. Step 6: Final answer
    x = 7,574.96

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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.