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Finding the Fourth Proportional to 9,514.61, 13,125.69 and 6,329.46

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Solution

The fourth proportional to 9,514.61, 13,125.69 and 6,329.46 is: 8,731.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.61 : 13,125.69 = 6,329.46 : x
  2. Step 2: Convert to fraction form
    9,514.61/13,125.69 = 6,329.46/x
  3. Step 3: Cross multiply
    9,514.61x = 13,125.69 × 6,329.46
  4. Step 4: Simplify right side
    9,514.61x = 83,078,529.83
  5. Step 5: Solve for x
    x = 83,078,529.83/9,514.61
  6. Step 6: Final answer
    x = 8,731.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.