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Finding the Fourth Proportional to 9,352.46, 12,906.35 and 5,373.82

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Solution

The fourth proportional to 9,352.46, 12,906.35 and 5,373.82 is: 7,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,352.46 : 12,906.35 = 5,373.82 : x
  2. Step 2: Convert to fraction form
    9,352.46/12,906.35 = 5,373.82/x
  3. Step 3: Cross multiply
    9,352.46x = 12,906.35 × 5,373.82
  4. Step 4: Simplify right side
    9,352.46x = 69,356,401.76
  5. Step 5: Solve for x
    x = 69,356,401.76/9,352.46
  6. Step 6: Final answer
    x = 7,415.85

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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.