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Finding the Fourth Proportional to 9,513.24, 14,265.72 and 7,323.50

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Solution

The fourth proportional to 9,513.24, 14,265.72 and 7,323.50 is: 10,982.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,513.24 : 14,265.72 = 7,323.50 : x
  2. Step 2: Convert to fraction form
    9,513.24/14,265.72 = 7,323.50/x
  3. Step 3: Cross multiply
    9,513.24x = 14,265.72 × 7,323.50
  4. Step 4: Simplify right side
    9,513.24x = 104,475,000.42
  5. Step 5: Solve for x
    x = 104,475,000.42/9,513.24
  6. Step 6: Final answer
    x = 10,982.06

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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.