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Finding the Fourth Proportional to 9,470.25, 14,199.91 and 4,205.25

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Solution

The fourth proportional to 9,470.25, 14,199.91 and 4,205.25 is: 6,305.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.25 : 14,199.91 = 4,205.25 : x
  2. Step 2: Convert to fraction form
    9,470.25/14,199.91 = 4,205.25/x
  3. Step 3: Cross multiply
    9,470.25x = 14,199.91 × 4,205.25
  4. Step 4: Simplify right side
    9,470.25x = 59,714,161.01
  5. Step 5: Solve for x
    x = 59,714,161.01/9,470.25
  6. Step 6: Final answer
    x = 6,305.45

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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.