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Finding the Fourth Proportional to 9,514.70, 14,274.21 and 5,132.06

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Solution

The fourth proportional to 9,514.70, 14,274.21 and 5,132.06 is: 7,699.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.70 : 14,274.21 = 5,132.06 : x
  2. Step 2: Convert to fraction form
    9,514.70/14,274.21 = 5,132.06/x
  3. Step 3: Cross multiply
    9,514.70x = 14,274.21 × 5,132.06
  4. Step 4: Simplify right side
    9,514.70x = 73,256,030.80
  5. Step 5: Solve for x
    x = 73,256,030.80/9,514.70
  6. Step 6: Final answer
    x = 7,699.25

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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.