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Finding the Fourth Proportional to 9,514.54, 14,264.52 and 5,816.08

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Solution

The fourth proportional to 9,514.54, 14,264.52 and 5,816.08 is: 8,719.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.54 : 14,264.52 = 5,816.08 : x
  2. Step 2: Convert to fraction form
    9,514.54/14,264.52 = 5,816.08/x
  3. Step 3: Cross multiply
    9,514.54x = 14,264.52 × 5,816.08
  4. Step 4: Simplify right side
    9,514.54x = 82,963,589.48
  5. Step 5: Solve for x
    x = 82,963,589.48/9,514.54
  6. Step 6: Final answer
    x = 8,719.66

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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.