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Finding the Fourth Proportional to 9,659.16, 14,373.36 and 9,626.40

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Solution

The fourth proportional to 9,659.16, 14,373.36 and 9,626.40 is: 14,324.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.16 : 14,373.36 = 9,626.40 : x
  2. Step 2: Convert to fraction form
    9,659.16/14,373.36 = 9,626.40/x
  3. Step 3: Cross multiply
    9,659.16x = 14,373.36 × 9,626.40
  4. Step 4: Simplify right side
    9,659.16x = 138,363,712.70
  5. Step 5: Solve for x
    x = 138,363,712.70/9,659.16
  6. Step 6: Final answer
    x = 14,324.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.