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Finding the Fourth Proportional to 9,328.06, 13,977.43 and 6,514.12

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Solution

The fourth proportional to 9,328.06, 13,977.43 and 6,514.12 is: 9,760.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,328.06 : 13,977.43 = 6,514.12 : x
  2. Step 2: Convert to fraction form
    9,328.06/13,977.43 = 6,514.12/x
  3. Step 3: Cross multiply
    9,328.06x = 13,977.43 × 6,514.12
  4. Step 4: Simplify right side
    9,328.06x = 91,050,657.50
  5. Step 5: Solve for x
    x = 91,050,657.50/9,328.06
  6. Step 6: Final answer
    x = 9,760.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.