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Finding the Fourth Proportional to 9,583.11, 14,363.73 and 4,657.50

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Solution

The fourth proportional to 9,583.11, 14,363.73 and 4,657.50 is: 6,980.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.11 : 14,363.73 = 4,657.50 : x
  2. Step 2: Convert to fraction form
    9,583.11/14,363.73 = 4,657.50/x
  3. Step 3: Cross multiply
    9,583.11x = 14,363.73 × 4,657.50
  4. Step 4: Simplify right side
    9,583.11x = 66,899,072.48
  5. Step 5: Solve for x
    x = 66,899,072.48/9,583.11
  6. Step 6: Final answer
    x = 6,980.94

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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.