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Finding the Fourth Proportional to 6,389.60, 9,588.06 and 3,468.15

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Solution

The fourth proportional to 6,389.60, 9,588.06 and 3,468.15 is: 5,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.60 : 9,588.06 = 3,468.15 : x
  2. Step 2: Convert to fraction form
    6,389.60/9,588.06 = 3,468.15/x
  3. Step 3: Cross multiply
    6,389.60x = 9,588.06 × 3,468.15
  4. Step 4: Simplify right side
    6,389.60x = 33,252,830.29
  5. Step 5: Solve for x
    x = 33,252,830.29/6,389.60
  6. Step 6: Final answer
    x = 5,204.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.