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Finding the Fourth Proportional to 9,141.58, 13,710.24 and 2,568.40

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Solution

The fourth proportional to 9,141.58, 13,710.24 and 2,568.40 is: 3,852.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.58 : 13,710.24 = 2,568.40 : x
  2. Step 2: Convert to fraction form
    9,141.58/13,710.24 = 2,568.40/x
  3. Step 3: Cross multiply
    9,141.58x = 13,710.24 × 2,568.40
  4. Step 4: Simplify right side
    9,141.58x = 35,213,380.42
  5. Step 5: Solve for x
    x = 35,213,380.42/9,141.58
  6. Step 6: Final answer
    x = 3,852.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.