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Finding the Fourth Proportional to 9,270, 13,909.90 and 5,056.29

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Solution

The fourth proportional to 9,270, 13,909.90 and 5,056.29 is: 7,587.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270 : 13,909.90 = 5,056.29 : x
  2. Step 2: Convert to fraction form
    9,270/13,909.90 = 5,056.29/x
  3. Step 3: Cross multiply
    9,270x = 13,909.90 × 5,056.29
  4. Step 4: Simplify right side
    9,270x = 70,332,488.27
  5. Step 5: Solve for x
    x = 70,332,488.27/9,270
  6. Step 6: Final answer
    x = 7,587.11

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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.