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Finding the Fourth Proportional to 9,141.50, 13,710.20 and 4,206.40

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Solution

The fourth proportional to 9,141.50, 13,710.20 and 4,206.40 is: 6,308.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.50 : 13,710.20 = 4,206.40 : x
  2. Step 2: Convert to fraction form
    9,141.50/13,710.20 = 4,206.40/x
  3. Step 3: Cross multiply
    9,141.50x = 13,710.20 × 4,206.40
  4. Step 4: Simplify right side
    9,141.50x = 57,670,585.28
  5. Step 5: Solve for x
    x = 57,670,585.28/9,141.50
  6. Step 6: Final answer
    x = 6,308.66

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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.