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Finding the Fourth Proportional to 9,661.01, 14,473.08 and 5,207.63

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Solution

The fourth proportional to 9,661.01, 14,473.08 and 5,207.63 is: 7,801.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.01 : 14,473.08 = 5,207.63 : x
  2. Step 2: Convert to fraction form
    9,661.01/14,473.08 = 5,207.63/x
  3. Step 3: Cross multiply
    9,661.01x = 14,473.08 × 5,207.63
  4. Step 4: Simplify right side
    9,661.01x = 75,370,373.24
  5. Step 5: Solve for x
    x = 75,370,373.24/9,661.01
  6. Step 6: Final answer
    x = 7,801.50

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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.