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Finding the Fourth Proportional to 9,362.84, 12,920.10 and 7,378.52

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Solution

The fourth proportional to 9,362.84, 12,920.10 and 7,378.52 is: 10,181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.84 : 12,920.10 = 7,378.52 : x
  2. Step 2: Convert to fraction form
    9,362.84/12,920.10 = 7,378.52/x
  3. Step 3: Cross multiply
    9,362.84x = 12,920.10 × 7,378.52
  4. Step 4: Simplify right side
    9,362.84x = 95,331,216.25
  5. Step 5: Solve for x
    x = 95,331,216.25/9,362.84
  6. Step 6: Final answer
    x = 10,181.87

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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.