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Finding the Fourth Proportional to 9,834.74, 13,572.26 and 5,358.63

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Solution

The fourth proportional to 9,834.74, 13,572.26 and 5,358.63 is: 7,395.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.74 : 13,572.26 = 5,358.63 : x
  2. Step 2: Convert to fraction form
    9,834.74/13,572.26 = 5,358.63/x
  3. Step 3: Cross multiply
    9,834.74x = 13,572.26 × 5,358.63
  4. Step 4: Simplify right side
    9,834.74x = 72,728,692.81
  5. Step 5: Solve for x
    x = 72,728,692.81/9,834.74
  6. Step 6: Final answer
    x = 7,395.08

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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.