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Finding the Fourth Proportional to 9,583.23, 13,230.93 and 6,563.40

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Solution

The fourth proportional to 9,583.23, 13,230.93 and 6,563.40 is: 9,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.23 : 13,230.93 = 6,563.40 : x
  2. Step 2: Convert to fraction form
    9,583.23/13,230.93 = 6,563.40/x
  3. Step 3: Cross multiply
    9,583.23x = 13,230.93 × 6,563.40
  4. Step 4: Simplify right side
    9,583.23x = 86,839,885.96
  5. Step 5: Solve for x
    x = 86,839,885.96/9,583.23
  6. Step 6: Final answer
    x = 9,061.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.