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Finding the Fourth Proportional to 9,583.40, 13,225.08 and 5,391.66

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Solution

The fourth proportional to 9,583.40, 13,225.08 and 5,391.66 is: 7,440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,583.40 : 13,225.08 = 5,391.66 : x
  2. Step 2: Convert to fraction form
    9,583.40/13,225.08 = 5,391.66/x
  3. Step 3: Cross multiply
    9,583.40x = 13,225.08 × 5,391.66
  4. Step 4: Simplify right side
    9,583.40x = 71,305,134.83
  5. Step 5: Solve for x
    x = 71,305,134.83/9,583.40
  6. Step 6: Final answer
    x = 7,440.48

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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.