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Finding the Fourth Proportional to 6,552.77, 9,830.68 and 1,872.84

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Solution

The fourth proportional to 6,552.77, 9,830.68 and 1,872.84 is: 2,809.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.77 : 9,830.68 = 1,872.84 : x
  2. Step 2: Convert to fraction form
    6,552.77/9,830.68 = 1,872.84/x
  3. Step 3: Cross multiply
    6,552.77x = 9,830.68 × 1,872.84
  4. Step 4: Simplify right side
    6,552.77x = 18,411,281.37
  5. Step 5: Solve for x
    x = 18,411,281.37/6,552.77
  6. Step 6: Final answer
    x = 2,809.69

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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.