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Finding the Fourth Proportional to 9,575.01, 13,213.53 and 5,595.39

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Solution

The fourth proportional to 9,575.01, 13,213.53 and 5,595.39 is: 7,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,575.01 : 13,213.53 = 5,595.39 : x
  2. Step 2: Convert to fraction form
    9,575.01/13,213.53 = 5,595.39/x
  3. Step 3: Cross multiply
    9,575.01x = 13,213.53 × 5,595.39
  4. Step 4: Simplify right side
    9,575.01x = 73,934,853.63
  5. Step 5: Solve for x
    x = 73,934,853.63/9,575.01
  6. Step 6: Final answer
    x = 7,721.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.