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Finding the Fourth Proportional to 9,869.80, 14,813.10 and 4,030.60

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Solution

The fourth proportional to 9,869.80, 14,813.10 and 4,030.60 is: 6,049.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,869.80 : 14,813.10 = 4,030.60 : x
  2. Step 2: Convert to fraction form
    9,869.80/14,813.10 = 4,030.60/x
  3. Step 3: Cross multiply
    9,869.80x = 14,813.10 × 4,030.60
  4. Step 4: Simplify right side
    9,869.80x = 59,705,680.86
  5. Step 5: Solve for x
    x = 59,705,680.86/9,869.80
  6. Step 6: Final answer
    x = 6,049.33

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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.