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Finding the Fourth Proportional to 9,404.30, 14,089.15 and 5,893.65

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Solution

The fourth proportional to 9,404.30, 14,089.15 and 5,893.65 is: 8,829.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.30 : 14,089.15 = 5,893.65 : x
  2. Step 2: Convert to fraction form
    9,404.30/14,089.15 = 5,893.65/x
  3. Step 3: Cross multiply
    9,404.30x = 14,089.15 × 5,893.65
  4. Step 4: Simplify right side
    9,404.30x = 83,036,514.74
  5. Step 5: Solve for x
    x = 83,036,514.74/9,404.30
  6. Step 6: Final answer
    x = 8,829.63

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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.