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Finding the Fourth Proportional to 9,358.86, 14,026.10 and 3,805.70

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Solution

The fourth proportional to 9,358.86, 14,026.10 and 3,805.70 is: 5,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,358.86 : 14,026.10 = 3,805.70 : x
  2. Step 2: Convert to fraction form
    9,358.86/14,026.10 = 3,805.70/x
  3. Step 3: Cross multiply
    9,358.86x = 14,026.10 × 3,805.70
  4. Step 4: Simplify right side
    9,358.86x = 53,379,039.61
  5. Step 5: Solve for x
    x = 53,379,039.61/9,358.86
  6. Step 6: Final answer
    x = 5,703.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.