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Finding the Fourth Proportional to 9,779.15, 14,668.76 and 6,870.44

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Solution

The fourth proportional to 9,779.15, 14,668.76 and 6,870.44 is: 10,305.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.15 : 14,668.76 = 6,870.44 : x
  2. Step 2: Convert to fraction form
    9,779.15/14,668.76 = 6,870.44/x
  3. Step 3: Cross multiply
    9,779.15x = 14,668.76 × 6,870.44
  4. Step 4: Simplify right side
    9,779.15x = 100,780,727.76
  5. Step 5: Solve for x
    x = 100,780,727.76/9,779.15
  6. Step 6: Final answer
    x = 10,305.68

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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.