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Finding the Fourth Proportional to 9,072.29, 13,602.51 and 3,810.66

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Solution

The fourth proportional to 9,072.29, 13,602.51 and 3,810.66 is: 5,713.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,072.29 : 13,602.51 = 3,810.66 : x
  2. Step 2: Convert to fraction form
    9,072.29/13,602.51 = 3,810.66/x
  3. Step 3: Cross multiply
    9,072.29x = 13,602.51 × 3,810.66
  4. Step 4: Simplify right side
    9,072.29x = 51,834,540.76
  5. Step 5: Solve for x
    x = 51,834,540.76/9,072.29
  6. Step 6: Final answer
    x = 5,713.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.