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Finding the Fourth Proportional to 4,009.14, 6,009.62 and 1,543.32

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Solution

The fourth proportional to 4,009.14, 6,009.62 and 1,543.32 is: 2,313.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,009.14 : 6,009.62 = 1,543.32 : x
  2. Step 2: Convert to fraction form
    4,009.14/6,009.62 = 1,543.32/x
  3. Step 3: Cross multiply
    4,009.14x = 6,009.62 × 1,543.32
  4. Step 4: Simplify right side
    4,009.14x = 9,274,759.02
  5. Step 5: Solve for x
    x = 9,274,759.02/4,009.14
  6. Step 6: Final answer
    x = 2,313.40

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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.