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Finding the Fourth Proportional to 9,834.10, 13,571.09 and 5,357.89

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Solution

The fourth proportional to 9,834.10, 13,571.09 and 5,357.89 is: 7,393.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.10 : 13,571.09 = 5,357.89 : x
  2. Step 2: Convert to fraction form
    9,834.10/13,571.09 = 5,357.89/x
  3. Step 3: Cross multiply
    9,834.10x = 13,571.09 × 5,357.89
  4. Step 4: Simplify right side
    9,834.10x = 72,712,407.40
  5. Step 5: Solve for x
    x = 72,712,407.40/9,834.10
  6. Step 6: Final answer
    x = 7,393.91

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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.