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Finding the Fourth Proportional to 9,601.04, 14,378.24 and 4,658.40

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Solution

The fourth proportional to 9,601.04, 14,378.24 and 4,658.40 is: 6,976.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,601.04 : 14,378.24 = 4,658.40 : x
  2. Step 2: Convert to fraction form
    9,601.04/14,378.24 = 4,658.40/x
  3. Step 3: Cross multiply
    9,601.04x = 14,378.24 × 4,658.40
  4. Step 4: Simplify right side
    9,601.04x = 66,979,593.22
  5. Step 5: Solve for x
    x = 66,979,593.22/9,601.04
  6. Step 6: Final answer
    x = 6,976.29

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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.