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Finding the Fourth Proportional to 9,914.40, 15,163.20 and 9,914.40

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Solution

The fourth proportional to 9,914.40, 15,163.20 and 9,914.40 is: 15,163.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.40 : 15,163.20 = 9,914.40 : x
  2. Step 2: Convert to fraction form
    9,914.40/15,163.20 = 9,914.40/x
  3. Step 3: Cross multiply
    9,914.40x = 15,163.20 × 9,914.40
  4. Step 4: Simplify right side
    9,914.40x = 150,334,030.08
  5. Step 5: Solve for x
    x = 150,334,030.08/9,914.40
  6. Step 6: Final answer
    x = 15,163.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.