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Finding the Fourth Proportional to 9,840.54, 14,766.43 and 3,599.70

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Solution

The fourth proportional to 9,840.54, 14,766.43 and 3,599.70 is: 5,401.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.54 : 14,766.43 = 3,599.70 : x
  2. Step 2: Convert to fraction form
    9,840.54/14,766.43 = 3,599.70/x
  3. Step 3: Cross multiply
    9,840.54x = 14,766.43 × 3,599.70
  4. Step 4: Simplify right side
    9,840.54x = 53,154,718.07
  5. Step 5: Solve for x
    x = 53,154,718.07/9,840.54
  6. Step 6: Final answer
    x = 5,401.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.