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Finding the Fourth Proportional to 9,514.84, 14,294.16 and 6,748.36

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Solution

The fourth proportional to 9,514.84, 14,294.16 and 6,748.36 is: 10,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.84 : 14,294.16 = 6,748.36 : x
  2. Step 2: Convert to fraction form
    9,514.84/14,294.16 = 6,748.36/x
  3. Step 3: Cross multiply
    9,514.84x = 14,294.16 × 6,748.36
  4. Step 4: Simplify right side
    9,514.84x = 96,462,137.58
  5. Step 5: Solve for x
    x = 96,462,137.58/9,514.84
  6. Step 6: Final answer
    x = 10,138.07

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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.