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Finding the Fourth Proportional to 9,807, 14,712.30 and 3,967.71

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Solution

The fourth proportional to 9,807, 14,712.30 and 3,967.71 is: 5,952.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807 : 14,712.30 = 3,967.71 : x
  2. Step 2: Convert to fraction form
    9,807/14,712.30 = 3,967.71/x
  3. Step 3: Cross multiply
    9,807x = 14,712.30 × 3,967.71
  4. Step 4: Simplify right side
    9,807x = 58,374,139.83
  5. Step 5: Solve for x
    x = 58,374,139.83/9,807
  6. Step 6: Final answer
    x = 5,952.29

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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.