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Finding the Fourth Proportional to 6,292.34, 9,438.44 and 1,612.32

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Solution

The fourth proportional to 6,292.34, 9,438.44 and 1,612.32 is: 2,418.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.34 : 9,438.44 = 1,612.32 : x
  2. Step 2: Convert to fraction form
    6,292.34/9,438.44 = 1,612.32/x
  3. Step 3: Cross multiply
    6,292.34x = 9,438.44 × 1,612.32
  4. Step 4: Simplify right side
    6,292.34x = 15,217,751.19
  5. Step 5: Solve for x
    x = 15,217,751.19/6,292.34
  6. Step 6: Final answer
    x = 2,418.45

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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.