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Finding the Fourth Proportional to 6,389.23, 9,583.04 and 4,748.17

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Solution

The fourth proportional to 6,389.23, 9,583.04 and 4,748.17 is: 7,121.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.23 : 9,583.04 = 4,748.17 : x
  2. Step 2: Convert to fraction form
    6,389.23/9,583.04 = 4,748.17/x
  3. Step 3: Cross multiply
    6,389.23x = 9,583.04 × 4,748.17
  4. Step 4: Simplify right side
    6,389.23x = 45,501,879.30
  5. Step 5: Solve for x
    x = 45,501,879.30/6,389.23
  6. Step 6: Final answer
    x = 7,121.65

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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.