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Finding the Fourth Proportional to 9,404.86, 14,109.16 and 4,210.78

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Solution

The fourth proportional to 9,404.86, 14,109.16 and 4,210.78 is: 6,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.86 : 14,109.16 = 4,210.78 : x
  2. Step 2: Convert to fraction form
    9,404.86/14,109.16 = 4,210.78/x
  3. Step 3: Cross multiply
    9,404.86x = 14,109.16 × 4,210.78
  4. Step 4: Simplify right side
    9,404.86x = 59,410,568.74
  5. Step 5: Solve for x
    x = 59,410,568.74/9,404.86
  6. Step 6: Final answer
    x = 6,317.01

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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.