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Finding the Fourth Proportional to 7,047.68, 9,725.91 and 3,860.93

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Solution

The fourth proportional to 7,047.68, 9,725.91 and 3,860.93 is: 5,328.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,047.68 : 9,725.91 = 3,860.93 : x
  2. Step 2: Convert to fraction form
    7,047.68/9,725.91 = 3,860.93/x
  3. Step 3: Cross multiply
    7,047.68x = 9,725.91 × 3,860.93
  4. Step 4: Simplify right side
    7,047.68x = 37,551,057.70
  5. Step 5: Solve for x
    x = 37,551,057.70/7,047.68
  6. Step 6: Final answer
    x = 5,328.14

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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.