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Finding the Fourth Proportional to 9,850.89, 14,768.01 and 4,583.18

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Solution

The fourth proportional to 9,850.89, 14,768.01 and 4,583.18 is: 6,870.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,850.89 : 14,768.01 = 4,583.18 : x
  2. Step 2: Convert to fraction form
    9,850.89/14,768.01 = 4,583.18/x
  3. Step 3: Cross multiply
    9,850.89x = 14,768.01 × 4,583.18
  4. Step 4: Simplify right side
    9,850.89x = 67,684,398.42
  5. Step 5: Solve for x
    x = 67,684,398.42/9,850.89
  6. Step 6: Final answer
    x = 6,870.89

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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.