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Finding the Fourth Proportional to 9,840.62, 14,767.41 and 4,647.02

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Solution

The fourth proportional to 9,840.62, 14,767.41 and 4,647.02 is: 6,973.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.62 : 14,767.41 = 4,647.02 : x
  2. Step 2: Convert to fraction form
    9,840.62/14,767.41 = 4,647.02/x
  3. Step 3: Cross multiply
    9,840.62x = 14,767.41 × 4,647.02
  4. Step 4: Simplify right side
    9,840.62x = 68,624,449.62
  5. Step 5: Solve for x
    x = 68,624,449.62/9,840.62
  6. Step 6: Final answer
    x = 6,973.59

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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.