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Finding the Fourth Proportional to 6,415.13, 9,626.07 and 4,553.04

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Solution

The fourth proportional to 6,415.13, 9,626.07 and 4,553.04 is: 6,831.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.13 : 9,626.07 = 4,553.04 : x
  2. Step 2: Convert to fraction form
    6,415.13/9,626.07 = 4,553.04/x
  3. Step 3: Cross multiply
    6,415.13x = 9,626.07 × 4,553.04
  4. Step 4: Simplify right side
    6,415.13x = 43,827,881.75
  5. Step 5: Solve for x
    x = 43,827,881.75/6,415.13
  6. Step 6: Final answer
    x = 6,831.96

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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.