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Finding the Fourth Proportional to 9,710.28, 14,570.28 and 4,774.14

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Solution

The fourth proportional to 9,710.28, 14,570.28 and 4,774.14 is: 7,163.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.28 : 14,570.28 = 4,774.14 : x
  2. Step 2: Convert to fraction form
    9,710.28/14,570.28 = 4,774.14/x
  3. Step 3: Cross multiply
    9,710.28x = 14,570.28 × 4,774.14
  4. Step 4: Simplify right side
    9,710.28x = 69,560,556.56
  5. Step 5: Solve for x
    x = 69,560,556.56/9,710.28
  6. Step 6: Final answer
    x = 7,163.60

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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.