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Finding the Fourth Proportional to 9,666.36, 14,489.42 and 4,047.25

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Solution

The fourth proportional to 9,666.36, 14,489.42 and 4,047.25 is: 6,066.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.36 : 14,489.42 = 4,047.25 : x
  2. Step 2: Convert to fraction form
    9,666.36/14,489.42 = 4,047.25/x
  3. Step 3: Cross multiply
    9,666.36x = 14,489.42 × 4,047.25
  4. Step 4: Simplify right side
    9,666.36x = 58,642,305.10
  5. Step 5: Solve for x
    x = 58,642,305.10/9,666.36
  6. Step 6: Final answer
    x = 6,066.64

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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.