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Finding the Fourth Proportional to 9,802.08, 13,523.76 and 6,078.24

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Solution

The fourth proportional to 9,802.08, 13,523.76 and 6,078.24 is: 8,386.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.08 : 13,523.76 = 6,078.24 : x
  2. Step 2: Convert to fraction form
    9,802.08/13,523.76 = 6,078.24/x
  3. Step 3: Cross multiply
    9,802.08x = 13,523.76 × 6,078.24
  4. Step 4: Simplify right side
    9,802.08x = 82,200,658.98
  5. Step 5: Solve for x
    x = 82,200,658.98/9,802.08
  6. Step 6: Final answer
    x = 8,386.04

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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.