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Finding the Fourth Proportional to 9,779.32, 14,668.96 and 2,383.72

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Solution

The fourth proportional to 9,779.32, 14,668.96 and 2,383.72 is: 3,575.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.32 : 14,668.96 = 2,383.72 : x
  2. Step 2: Convert to fraction form
    9,779.32/14,668.96 = 2,383.72/x
  3. Step 3: Cross multiply
    9,779.32x = 14,668.96 × 2,383.72
  4. Step 4: Simplify right side
    9,779.32x = 34,966,693.33
  5. Step 5: Solve for x
    x = 34,966,693.33/9,779.32
  6. Step 6: Final answer
    x = 3,575.58

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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.