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Finding the Fourth Proportional to 9,835, 13,571.31 and 5,586.24

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Solution

The fourth proportional to 9,835, 13,571.31 and 5,586.24 is: 7,708.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835 : 13,571.31 = 5,586.24 : x
  2. Step 2: Convert to fraction form
    9,835/13,571.31 = 5,586.24/x
  3. Step 3: Cross multiply
    9,835x = 13,571.31 × 5,586.24
  4. Step 4: Simplify right side
    9,835x = 75,812,594.77
  5. Step 5: Solve for x
    x = 75,812,594.77/9,835
  6. Step 6: Final answer
    x = 7,708.45

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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.