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Finding the Fourth Proportional to 9,835.70, 13,571.54 and 5,856.16

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Solution

The fourth proportional to 9,835.70, 13,571.54 and 5,856.16 is: 8,080.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.70 : 13,571.54 = 5,856.16 : x
  2. Step 2: Convert to fraction form
    9,835.70/13,571.54 = 5,856.16/x
  3. Step 3: Cross multiply
    9,835.70x = 13,571.54 × 5,856.16
  4. Step 4: Simplify right side
    9,835.70x = 79,477,109.69
  5. Step 5: Solve for x
    x = 79,477,109.69/9,835.70
  6. Step 6: Final answer
    x = 8,080.47

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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.