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Finding the Fourth Proportional to 9,889.76, 14,829.20 and 4,050.48

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Solution

The fourth proportional to 9,889.76, 14,829.20 and 4,050.48 is: 6,073.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,889.76 : 14,829.20 = 4,050.48 : x
  2. Step 2: Convert to fraction form
    9,889.76/14,829.20 = 4,050.48/x
  3. Step 3: Cross multiply
    9,889.76x = 14,829.20 × 4,050.48
  4. Step 4: Simplify right side
    9,889.76x = 60,065,378.02
  5. Step 5: Solve for x
    x = 60,065,378.02/9,889.76
  6. Step 6: Final answer
    x = 6,073.49

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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.