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Finding the Fourth Proportional to 6,357.59, 9,489.62 and 5,911.91

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Solution

The fourth proportional to 6,357.59, 9,489.62 and 5,911.91 is: 8,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.59 : 9,489.62 = 5,911.91 : x
  2. Step 2: Convert to fraction form
    6,357.59/9,489.62 = 5,911.91/x
  3. Step 3: Cross multiply
    6,357.59x = 9,489.62 × 5,911.91
  4. Step 4: Simplify right side
    6,357.59x = 56,101,779.37
  5. Step 5: Solve for x
    x = 56,101,779.37/6,357.59
  6. Step 6: Final answer
    x = 8,824.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.