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Finding the Fourth Proportional to 9,206.51, 13,810.07 and 2,543.49

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Solution

The fourth proportional to 9,206.51, 13,810.07 and 2,543.49 is: 3,815.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.51 : 13,810.07 = 2,543.49 : x
  2. Step 2: Convert to fraction form
    9,206.51/13,810.07 = 2,543.49/x
  3. Step 3: Cross multiply
    9,206.51x = 13,810.07 × 2,543.49
  4. Step 4: Simplify right side
    9,206.51x = 35,125,781.30
  5. Step 5: Solve for x
    x = 35,125,781.30/9,206.51
  6. Step 6: Final answer
    x = 3,815.32

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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.