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Finding the Fourth Proportional to 9,130, 13,695.03 and 2,204.50

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Solution

The fourth proportional to 9,130, 13,695.03 and 2,204.50 is: 3,306.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130 : 13,695.03 = 2,204.50 : x
  2. Step 2: Convert to fraction form
    9,130/13,695.03 = 2,204.50/x
  3. Step 3: Cross multiply
    9,130x = 13,695.03 × 2,204.50
  4. Step 4: Simplify right side
    9,130x = 30,190,693.64
  5. Step 5: Solve for x
    x = 30,190,693.64/9,130
  6. Step 6: Final answer
    x = 3,306.76

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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.