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Finding the Fourth Proportional to 7,077.43, 9,767.69 and 4,566.84

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Solution

The fourth proportional to 7,077.43, 9,767.69 and 4,566.84 is: 6,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.43 : 9,767.69 = 4,566.84 : x
  2. Step 2: Convert to fraction form
    7,077.43/9,767.69 = 4,566.84/x
  3. Step 3: Cross multiply
    7,077.43x = 9,767.69 × 4,566.84
  4. Step 4: Simplify right side
    7,077.43x = 44,607,477.40
  5. Step 5: Solve for x
    x = 44,607,477.40/7,077.43
  6. Step 6: Final answer
    x = 6,302.78

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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.