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Finding the Fourth Proportional to 9,989.40, 14,910.02 and 8,649.20

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Solution

The fourth proportional to 9,989.40, 14,910.02 and 8,649.20 is: 12,909.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,989.40 : 14,910.02 = 8,649.20 : x
  2. Step 2: Convert to fraction form
    9,989.40/14,910.02 = 8,649.20/x
  3. Step 3: Cross multiply
    9,989.40x = 14,910.02 × 8,649.20
  4. Step 4: Simplify right side
    9,989.40x = 128,959,803.88
  5. Step 5: Solve for x
    x = 128,959,803.88/9,989.40
  6. Step 6: Final answer
    x = 12,909.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.