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Finding the Fourth Proportional to 9,575.22, 14,368.26 and 5,195.70

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Solution

The fourth proportional to 9,575.22, 14,368.26 and 5,195.70 is: 7,796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.22 : 14,368.26 = 5,195.70 : x
  2. Step 2: Convert to fraction form
    9,575.22/14,368.26 = 5,195.70/x
  3. Step 3: Cross multiply
    9,575.22x = 14,368.26 × 5,195.70
  4. Step 4: Simplify right side
    9,575.22x = 74,653,168.48
  5. Step 5: Solve for x
    x = 74,653,168.48/9,575.22
  6. Step 6: Final answer
    x = 7,796.50

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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.