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Finding the Fourth Proportional to 9,145.70, 13,706.24 and 4,979.46

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Solution

The fourth proportional to 9,145.70, 13,706.24 and 4,979.46 is: 7,462.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.70 : 13,706.24 = 4,979.46 : x
  2. Step 2: Convert to fraction form
    9,145.70/13,706.24 = 4,979.46/x
  3. Step 3: Cross multiply
    9,145.70x = 13,706.24 × 4,979.46
  4. Step 4: Simplify right side
    9,145.70x = 68,249,673.83
  5. Step 5: Solve for x
    x = 68,249,673.83/9,145.70
  6. Step 6: Final answer
    x = 7,462.49

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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.