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Finding the Fourth Proportional to 6,599.61, 9,108.72 and 4,084.16

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Solution

The fourth proportional to 6,599.61, 9,108.72 and 4,084.16 is: 5,636.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.61 : 9,108.72 = 4,084.16 : x
  2. Step 2: Convert to fraction form
    6,599.61/9,108.72 = 4,084.16/x
  3. Step 3: Cross multiply
    6,599.61x = 9,108.72 × 4,084.16
  4. Step 4: Simplify right side
    6,599.61x = 37,201,424.33
  5. Step 5: Solve for x
    x = 37,201,424.33/6,599.61
  6. Step 6: Final answer
    x = 5,636.91

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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.