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Finding the Fourth Proportional to 6,560.44, 9,825.96 and 5,095.16

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Solution

The fourth proportional to 6,560.44, 9,825.96 and 5,095.16 is: 7,631.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,560.44 : 9,825.96 = 5,095.16 : x
  2. Step 2: Convert to fraction form
    6,560.44/9,825.96 = 5,095.16/x
  3. Step 3: Cross multiply
    6,560.44x = 9,825.96 × 5,095.16
  4. Step 4: Simplify right side
    6,560.44x = 50,064,838.35
  5. Step 5: Solve for x
    x = 50,064,838.35/6,560.44
  6. Step 6: Final answer
    x = 7,631.32

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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.