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Finding the Fourth Proportional to 9,835.76, 13,573.50 and 5,586.52

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Solution

The fourth proportional to 9,835.76, 13,573.50 and 5,586.52 is: 7,709.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,835.76 : 13,573.50 = 5,586.52 : x
  2. Step 2: Convert to fraction form
    9,835.76/13,573.50 = 5,586.52/x
  3. Step 3: Cross multiply
    9,835.76x = 13,573.50 × 5,586.52
  4. Step 4: Simplify right side
    9,835.76x = 75,828,629.22
  5. Step 5: Solve for x
    x = 75,828,629.22/9,835.76
  6. Step 6: Final answer
    x = 7,709.48

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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.