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Finding the Fourth Proportional to 9,779, 13,495.04 and 5,587.24

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Solution

The fourth proportional to 9,779, 13,495.04 and 5,587.24 is: 7,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779 : 13,495.04 = 5,587.24 : x
  2. Step 2: Convert to fraction form
    9,779/13,495.04 = 5,587.24/x
  3. Step 3: Cross multiply
    9,779x = 13,495.04 × 5,587.24
  4. Step 4: Simplify right side
    9,779x = 75,400,027.29
  5. Step 5: Solve for x
    x = 75,400,027.29/9,779
  6. Step 6: Final answer
    x = 7,710.40

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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.