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Finding the Fourth Proportional to 9,872.66, 14,813.10 and 4,329.98

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Solution

The fourth proportional to 9,872.66, 14,813.10 and 4,329.98 is: 6,496.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.66 : 14,813.10 = 4,329.98 : x
  2. Step 2: Convert to fraction form
    9,872.66/14,813.10 = 4,329.98/x
  3. Step 3: Cross multiply
    9,872.66x = 14,813.10 × 4,329.98
  4. Step 4: Simplify right side
    9,872.66x = 64,140,331.02
  5. Step 5: Solve for x
    x = 64,140,331.02/9,872.66
  6. Step 6: Final answer
    x = 6,496.77

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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.