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Finding the Fourth Proportional to 9,389.03, 12,954.67 and 6,411.06

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Solution

The fourth proportional to 9,389.03, 12,954.67 and 6,411.06 is: 8,845.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,389.03 : 12,954.67 = 6,411.06 : x
  2. Step 2: Convert to fraction form
    9,389.03/12,954.67 = 6,411.06/x
  3. Step 3: Cross multiply
    9,389.03x = 12,954.67 × 6,411.06
  4. Step 4: Simplify right side
    9,389.03x = 83,053,150.62
  5. Step 5: Solve for x
    x = 83,053,150.62/9,389.03
  6. Step 6: Final answer
    x = 8,845.77

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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.