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Finding the Fourth Proportional to 9,642.48, 14,464.59 and 3,722.32

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Solution

The fourth proportional to 9,642.48, 14,464.59 and 3,722.32 is: 5,583.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,642.48 : 14,464.59 = 3,722.32 : x
  2. Step 2: Convert to fraction form
    9,642.48/14,464.59 = 3,722.32/x
  3. Step 3: Cross multiply
    9,642.48x = 14,464.59 × 3,722.32
  4. Step 4: Simplify right side
    9,642.48x = 53,841,832.65
  5. Step 5: Solve for x
    x = 53,841,832.65/9,642.48
  6. Step 6: Final answer
    x = 5,583.82

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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.