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Finding the Fourth Proportional to 7,083.84, 9,781.92 and 4,435.76

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Solution

The fourth proportional to 7,083.84, 9,781.92 and 4,435.76 is: 6,125.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,083.84 : 9,781.92 = 4,435.76 : x
  2. Step 2: Convert to fraction form
    7,083.84/9,781.92 = 4,435.76/x
  3. Step 3: Cross multiply
    7,083.84x = 9,781.92 × 4,435.76
  4. Step 4: Simplify right side
    7,083.84x = 43,390,249.46
  5. Step 5: Solve for x
    x = 43,390,249.46/7,083.84
  6. Step 6: Final answer
    x = 6,125.24

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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.