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Finding the Fourth Proportional to 6,539.84, 9,024.71 and 3,887.22

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Solution

The fourth proportional to 6,539.84, 9,024.71 and 3,887.22 is: 5,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.84 : 9,024.71 = 3,887.22 : x
  2. Step 2: Convert to fraction form
    6,539.84/9,024.71 = 3,887.22/x
  3. Step 3: Cross multiply
    6,539.84x = 9,024.71 × 3,887.22
  4. Step 4: Simplify right side
    6,539.84x = 35,081,013.77
  5. Step 5: Solve for x
    x = 35,081,013.77/6,539.84
  6. Step 6: Final answer
    x = 5,364.20

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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.