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Finding the Fourth Proportional to 6,389.55, 9,572.45 and 3,470.31

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Solution

The fourth proportional to 6,389.55, 9,572.45 and 3,470.31 is: 5,199.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.55 : 9,572.45 = 3,470.31 : x
  2. Step 2: Convert to fraction form
    6,389.55/9,572.45 = 3,470.31/x
  3. Step 3: Cross multiply
    6,389.55x = 9,572.45 × 3,470.31
  4. Step 4: Simplify right side
    6,389.55x = 33,219,351.61
  5. Step 5: Solve for x
    x = 33,219,351.61/6,389.55
  6. Step 6: Final answer
    x = 5,199.01

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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.