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Finding the Fourth Proportional to 9,356.92, 12,911.88 and 5,378.02

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Solution

The fourth proportional to 9,356.92, 12,911.88 and 5,378.02 is: 7,421.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.92 : 12,911.88 = 5,378.02 : x
  2. Step 2: Convert to fraction form
    9,356.92/12,911.88 = 5,378.02/x
  3. Step 3: Cross multiply
    9,356.92x = 12,911.88 × 5,378.02
  4. Step 4: Simplify right side
    9,356.92x = 69,440,348.88
  5. Step 5: Solve for x
    x = 69,440,348.88/9,356.92
  6. Step 6: Final answer
    x = 7,421.28

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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.