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Finding the Fourth Proportional to 9,779.92, 14,670.48 and 3,936.52

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Solution

The fourth proportional to 9,779.92, 14,670.48 and 3,936.52 is: 5,905.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.92 : 14,670.48 = 3,936.52 : x
  2. Step 2: Convert to fraction form
    9,779.92/14,670.48 = 3,936.52/x
  3. Step 3: Cross multiply
    9,779.92x = 14,670.48 × 3,936.52
  4. Step 4: Simplify right side
    9,779.92x = 57,750,637.93
  5. Step 5: Solve for x
    x = 57,750,637.93/9,779.92
  6. Step 6: Final answer
    x = 5,905.02

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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.