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Finding the Fourth Proportional to 6,590.02, 9,096.34 and 4,353.88

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Solution

The fourth proportional to 6,590.02, 9,096.34 and 4,353.88 is: 6,009.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.02 : 9,096.34 = 4,353.88 : x
  2. Step 2: Convert to fraction form
    6,590.02/9,096.34 = 4,353.88/x
  3. Step 3: Cross multiply
    6,590.02x = 9,096.34 × 4,353.88
  4. Step 4: Simplify right side
    6,590.02x = 39,604,372.80
  5. Step 5: Solve for x
    x = 39,604,372.80/6,590.02
  6. Step 6: Final answer
    x = 6,009.75

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