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Finding the Fourth Proportional to 6,508.48, 9,771.36 and 3,588.16

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Solution

The fourth proportional to 6,508.48, 9,771.36 and 3,588.16 is: 5,387.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.48 : 9,771.36 = 3,588.16 : x
  2. Step 2: Convert to fraction form
    6,508.48/9,771.36 = 3,588.16/x
  3. Step 3: Cross multiply
    6,508.48x = 9,771.36 × 3,588.16
  4. Step 4: Simplify right side
    6,508.48x = 35,061,203.10
  5. Step 5: Solve for x
    x = 35,061,203.10/6,508.48
  6. Step 6: Final answer
    x = 5,387.00

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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.