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Finding the Fourth Proportional to 9,351.01, 14,016.48 and 4,661.74

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Solution

The fourth proportional to 9,351.01, 14,016.48 and 4,661.74 is: 6,987.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.01 : 14,016.48 = 4,661.74 : x
  2. Step 2: Convert to fraction form
    9,351.01/14,016.48 = 4,661.74/x
  3. Step 3: Cross multiply
    9,351.01x = 14,016.48 × 4,661.74
  4. Step 4: Simplify right side
    9,351.01x = 65,341,185.48
  5. Step 5: Solve for x
    x = 65,341,185.48/9,351.01
  6. Step 6: Final answer
    x = 6,987.61

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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.