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Finding the Fourth Proportional to 6,181.52, 9,271.92 and 1,564.56

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Solution

The fourth proportional to 6,181.52, 9,271.92 and 1,564.56 is: 2,346.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,181.52 : 9,271.92 = 1,564.56 : x
  2. Step 2: Convert to fraction form
    6,181.52/9,271.92 = 1,564.56/x
  3. Step 3: Cross multiply
    6,181.52x = 9,271.92 × 1,564.56
  4. Step 4: Simplify right side
    6,181.52x = 14,506,475.16
  5. Step 5: Solve for x
    x = 14,506,475.16/6,181.52
  6. Step 6: Final answer
    x = 2,346.75

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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.