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Finding the Fourth Proportional to 9,700.98, 14,552.01 and 2,776.02

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Solution

The fourth proportional to 9,700.98, 14,552.01 and 2,776.02 is: 4,164.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,700.98 : 14,552.01 = 2,776.02 : x
  2. Step 2: Convert to fraction form
    9,700.98/14,552.01 = 2,776.02/x
  3. Step 3: Cross multiply
    9,700.98x = 14,552.01 × 2,776.02
  4. Step 4: Simplify right side
    9,700.98x = 40,396,670.80
  5. Step 5: Solve for x
    x = 40,396,670.80/9,700.98
  6. Step 6: Final answer
    x = 4,164.18

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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.