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Finding the Fourth Proportional to 9,712.28, 14,573.28 and 4,776.14

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Solution

The fourth proportional to 9,712.28, 14,573.28 and 4,776.14 is: 7,166.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.28 : 14,573.28 = 4,776.14 : x
  2. Step 2: Convert to fraction form
    9,712.28/14,573.28 = 4,776.14/x
  3. Step 3: Cross multiply
    9,712.28x = 14,573.28 × 4,776.14
  4. Step 4: Simplify right side
    9,712.28x = 69,604,025.54
  5. Step 5: Solve for x
    x = 69,604,025.54/9,712.28
  6. Step 6: Final answer
    x = 7,166.60

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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.