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Finding the Fourth Proportional to 9,758.08, 13,463.76 and 5,779

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Solution

The fourth proportional to 9,758.08, 13,463.76 and 5,779 is: 7,973.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.08 : 13,463.76 = 5,779 : x
  2. Step 2: Convert to fraction form
    9,758.08/13,463.76 = 5,779/x
  3. Step 3: Cross multiply
    9,758.08x = 13,463.76 × 5,779
  4. Step 4: Simplify right side
    9,758.08x = 77,807,069.04
  5. Step 5: Solve for x
    x = 77,807,069.04/9,758.08
  6. Step 6: Final answer
    x = 7,973.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.