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Finding the Fourth Proportional to 6,537.17, 9,792.98 and 5,223.60

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Solution

The fourth proportional to 6,537.17, 9,792.98 and 5,223.60 is: 7,825.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,537.17 : 9,792.98 = 5,223.60 : x
  2. Step 2: Convert to fraction form
    6,537.17/9,792.98 = 5,223.60/x
  3. Step 3: Cross multiply
    6,537.17x = 9,792.98 × 5,223.60
  4. Step 4: Simplify right side
    6,537.17x = 51,154,584.21
  5. Step 5: Solve for x
    x = 51,154,584.21/6,537.17
  6. Step 6: Final answer
    x = 7,825.19

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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.