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Finding the Fourth Proportional to 9,041.51, 13,510.42 and 6,892.49

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Solution

The fourth proportional to 9,041.51, 13,510.42 and 6,892.49 is: 10,299.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041.51 : 13,510.42 = 6,892.49 : x
  2. Step 2: Convert to fraction form
    9,041.51/13,510.42 = 6,892.49/x
  3. Step 3: Cross multiply
    9,041.51x = 13,510.42 × 6,892.49
  4. Step 4: Simplify right side
    9,041.51x = 93,120,434.75
  5. Step 5: Solve for x
    x = 93,120,434.75/9,041.51
  6. Step 6: Final answer
    x = 10,299.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.