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Finding the Fourth Proportional to 7,109.33, 9,815.46 and 4,870.49

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Solution

The fourth proportional to 7,109.33, 9,815.46 and 4,870.49 is: 6,724.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,109.33 : 9,815.46 = 4,870.49 : x
  2. Step 2: Convert to fraction form
    7,109.33/9,815.46 = 4,870.49/x
  3. Step 3: Cross multiply
    7,109.33x = 9,815.46 × 4,870.49
  4. Step 4: Simplify right side
    7,109.33x = 47,806,099.78
  5. Step 5: Solve for x
    x = 47,806,099.78/7,109.33
  6. Step 6: Final answer
    x = 6,724.42

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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.