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Finding the Fourth Proportional to 7,098.84, 9,795.92 and 4,264.53

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Solution

The fourth proportional to 7,098.84, 9,795.92 and 4,264.53 is: 5,884.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.84 : 9,795.92 = 4,264.53 : x
  2. Step 2: Convert to fraction form
    7,098.84/9,795.92 = 4,264.53/x
  3. Step 3: Cross multiply
    7,098.84x = 9,795.92 × 4,264.53
  4. Step 4: Simplify right side
    7,098.84x = 41,775,015.75
  5. Step 5: Solve for x
    x = 41,775,015.75/7,098.84
  6. Step 6: Final answer
    x = 5,884.77

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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.