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Finding the Fourth Proportional to 9,206.18, 12,703.93 and 5,429.17

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Solution

The fourth proportional to 9,206.18, 12,703.93 and 5,429.17 is: 7,491.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,206.18 : 12,703.93 = 5,429.17 : x
  2. Step 2: Convert to fraction form
    9,206.18/12,703.93 = 5,429.17/x
  3. Step 3: Cross multiply
    9,206.18x = 12,703.93 × 5,429.17
  4. Step 4: Simplify right side
    9,206.18x = 68,971,704.97
  5. Step 5: Solve for x
    x = 68,971,704.97/9,206.18
  6. Step 6: Final answer
    x = 7,491.89

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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.