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Finding the Fourth Proportional to 9,779.40, 14,669.16 and 2,383.92

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Solution

The fourth proportional to 9,779.40, 14,669.16 and 2,383.92 is: 3,575.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.40 : 14,669.16 = 2,383.92 : x
  2. Step 2: Convert to fraction form
    9,779.40/14,669.16 = 2,383.92/x
  3. Step 3: Cross multiply
    9,779.40x = 14,669.16 × 2,383.92
  4. Step 4: Simplify right side
    9,779.40x = 34,970,103.91
  5. Step 5: Solve for x
    x = 34,970,103.91/9,779.40
  6. Step 6: Final answer
    x = 3,575.89

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