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Finding the Fourth Proportional to 6,594.65, 9,103.41 and 6,416.96

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Solution

The fourth proportional to 6,594.65, 9,103.41 and 6,416.96 is: 8,858.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,594.65 : 9,103.41 = 6,416.96 : x
  2. Step 2: Convert to fraction form
    6,594.65/9,103.41 = 6,416.96/x
  3. Step 3: Cross multiply
    6,594.65x = 9,103.41 × 6,416.96
  4. Step 4: Simplify right side
    6,594.65x = 58,416,172.32
  5. Step 5: Solve for x
    x = 58,416,172.32/6,594.65
  6. Step 6: Final answer
    x = 8,858.12

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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.