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Finding the Fourth Proportional to 9,805.62, 14,710.26 and 3,232.08

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Solution

The fourth proportional to 9,805.62, 14,710.26 and 3,232.08 is: 4,848.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.62 : 14,710.26 = 3,232.08 : x
  2. Step 2: Convert to fraction form
    9,805.62/14,710.26 = 3,232.08/x
  3. Step 3: Cross multiply
    9,805.62x = 14,710.26 × 3,232.08
  4. Step 4: Simplify right side
    9,805.62x = 47,544,737.14
  5. Step 5: Solve for x
    x = 47,544,737.14/9,805.62
  6. Step 6: Final answer
    x = 4,848.72

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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.