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Finding the Fourth Proportional to 9,838.42, 13,572.21 and 5,858.26

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Solution

The fourth proportional to 9,838.42, 13,572.21 and 5,858.26 is: 8,081.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.42 : 13,572.21 = 5,858.26 : x
  2. Step 2: Convert to fraction form
    9,838.42/13,572.21 = 5,858.26/x
  3. Step 3: Cross multiply
    9,838.42x = 13,572.21 × 5,858.26
  4. Step 4: Simplify right side
    9,838.42x = 79,509,534.95
  5. Step 5: Solve for x
    x = 79,509,534.95/9,838.42
  6. Step 6: Final answer
    x = 8,081.53

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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.