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Finding the Fourth Proportional to 6,012.42, 9,017.04 and 2,312.58

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Solution

The fourth proportional to 6,012.42, 9,017.04 and 2,312.58 is: 3,468.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.42 : 9,017.04 = 2,312.58 : x
  2. Step 2: Convert to fraction form
    6,012.42/9,017.04 = 2,312.58/x
  3. Step 3: Cross multiply
    6,012.42x = 9,017.04 × 2,312.58
  4. Step 4: Simplify right side
    6,012.42x = 20,852,626.36
  5. Step 5: Solve for x
    x = 20,852,626.36/6,012.42
  6. Step 6: Final answer
    x = 3,468.26

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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.