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Finding the Fourth Proportional to 9,805.86, 14,710.14 and 3,565.08

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Solution

The fourth proportional to 9,805.86, 14,710.14 and 3,565.08 is: 5,348.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.86 : 14,710.14 = 3,565.08 : x
  2. Step 2: Convert to fraction form
    9,805.86/14,710.14 = 3,565.08/x
  3. Step 3: Cross multiply
    9,805.86x = 14,710.14 × 3,565.08
  4. Step 4: Simplify right side
    9,805.86x = 52,442,825.91
  5. Step 5: Solve for x
    x = 52,442,825.91/9,805.86
  6. Step 6: Final answer
    x = 5,348.11

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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.