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Finding the Fourth Proportional to 6,087.34, 9,152.75 and 5,606.20

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Solution

The fourth proportional to 6,087.34, 9,152.75 and 5,606.20 is: 8,429.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,087.34 : 9,152.75 = 5,606.20 : x
  2. Step 2: Convert to fraction form
    6,087.34/9,152.75 = 5,606.20/x
  3. Step 3: Cross multiply
    6,087.34x = 9,152.75 × 5,606.20
  4. Step 4: Simplify right side
    6,087.34x = 51,312,119.02
  5. Step 5: Solve for x
    x = 51,312,119.02/6,087.34
  6. Step 6: Final answer
    x = 8,429.32

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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.