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Finding the Fourth Proportional to 9,856.84, 13,604.05 and 5,880.30

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Solution

The fourth proportional to 9,856.84, 13,604.05 and 5,880.30 is: 8,115.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.84 : 13,604.05 = 5,880.30 : x
  2. Step 2: Convert to fraction form
    9,856.84/13,604.05 = 5,880.30/x
  3. Step 3: Cross multiply
    9,856.84x = 13,604.05 × 5,880.30
  4. Step 4: Simplify right side
    9,856.84x = 79,995,851.55
  5. Step 5: Solve for x
    x = 79,995,851.55/9,856.84
  6. Step 6: Final answer
    x = 8,115.77

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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.