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Finding the Fourth Proportional to 9,771.54, 14,656.14 and 2,752.08

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Solution

The fourth proportional to 9,771.54, 14,656.14 and 2,752.08 is: 4,127.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.54 : 14,656.14 = 2,752.08 : x
  2. Step 2: Convert to fraction form
    9,771.54/14,656.14 = 2,752.08/x
  3. Step 3: Cross multiply
    9,771.54x = 14,656.14 × 2,752.08
  4. Step 4: Simplify right side
    9,771.54x = 40,334,814.81
  5. Step 5: Solve for x
    x = 40,334,814.81/9,771.54
  6. Step 6: Final answer
    x = 4,127.79

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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.