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Finding the Fourth Proportional to 9,368.70, 14,020.65 and 6,582.30

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Solution

The fourth proportional to 9,368.70, 14,020.65 and 6,582.30 is: 9,850.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,368.70 : 14,020.65 = 6,582.30 : x
  2. Step 2: Convert to fraction form
    9,368.70/14,020.65 = 6,582.30/x
  3. Step 3: Cross multiply
    9,368.70x = 14,020.65 × 6,582.30
  4. Step 4: Simplify right side
    9,368.70x = 92,288,124.50
  5. Step 5: Solve for x
    x = 92,288,124.50/9,368.70
  6. Step 6: Final answer
    x = 9,850.69

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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.