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Finding the Fourth Proportional to 9,797.76, 14,693.76 and 2,871.36

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Solution

The fourth proportional to 9,797.76, 14,693.76 and 2,871.36 is: 4,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.76 : 14,693.76 = 2,871.36 : x
  2. Step 2: Convert to fraction form
    9,797.76/14,693.76 = 2,871.36/x
  3. Step 3: Cross multiply
    9,797.76x = 14,693.76 × 2,871.36
  4. Step 4: Simplify right side
    9,797.76x = 42,191,074.71
  5. Step 5: Solve for x
    x = 42,191,074.71/9,797.76
  6. Step 6: Final answer
    x = 4,306.20

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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.