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Finding the Fourth Proportional to 9,054.46, 13,583.61 and 2,814.32

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Solution

The fourth proportional to 9,054.46, 13,583.61 and 2,814.32 is: 4,222.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,054.46 : 13,583.61 = 2,814.32 : x
  2. Step 2: Convert to fraction form
    9,054.46/13,583.61 = 2,814.32/x
  3. Step 3: Cross multiply
    9,054.46x = 13,583.61 × 2,814.32
  4. Step 4: Simplify right side
    9,054.46x = 38,228,543.31
  5. Step 5: Solve for x
    x = 38,228,543.31/9,054.46
  6. Step 6: Final answer
    x = 4,222.07

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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.