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Finding the Fourth Proportional to 9,411.09, 14,120.09 and 3,862.94

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Solution

The fourth proportional to 9,411.09, 14,120.09 and 3,862.94 is: 5,795.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.09 : 14,120.09 = 3,862.94 : x
  2. Step 2: Convert to fraction form
    9,411.09/14,120.09 = 3,862.94/x
  3. Step 3: Cross multiply
    9,411.09x = 14,120.09 × 3,862.94
  4. Step 4: Simplify right side
    9,411.09x = 54,544,985.04
  5. Step 5: Solve for x
    x = 54,544,985.04/9,411.09
  6. Step 6: Final answer
    x = 5,795.82

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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.