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Finding the Fourth Proportional to 6,013.69, 9,016.29 and 2,312.80

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Solution

The fourth proportional to 6,013.69, 9,016.29 and 2,312.80 is: 3,467.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.69 : 9,016.29 = 2,312.80 : x
  2. Step 2: Convert to fraction form
    6,013.69/9,016.29 = 2,312.80/x
  3. Step 3: Cross multiply
    6,013.69x = 9,016.29 × 2,312.80
  4. Step 4: Simplify right side
    6,013.69x = 20,852,875.51
  5. Step 5: Solve for x
    x = 20,852,875.51/6,013.69
  6. Step 6: Final answer
    x = 3,467.57

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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.