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Finding the Fourth Proportional to 9,072.24, 13,602.54 and 3,810.66

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Solution

The fourth proportional to 9,072.24, 13,602.54 and 3,810.66 is: 5,713.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.24 : 13,602.54 = 3,810.66 : x
  2. Step 2: Convert to fraction form
    9,072.24/13,602.54 = 3,810.66/x
  3. Step 3: Cross multiply
    9,072.24x = 13,602.54 × 3,810.66
  4. Step 4: Simplify right side
    9,072.24x = 51,834,655.08
  5. Step 5: Solve for x
    x = 51,834,655.08/9,072.24
  6. Step 6: Final answer
    x = 5,713.55

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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.