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Finding the Fourth Proportional to 9,818.28, 13,539.06 and 7,580.52

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Solution

The fourth proportional to 9,818.28, 13,539.06 and 7,580.52 is: 10,453.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.28 : 13,539.06 = 7,580.52 : x
  2. Step 2: Convert to fraction form
    9,818.28/13,539.06 = 7,580.52/x
  3. Step 3: Cross multiply
    9,818.28x = 13,539.06 × 7,580.52
  4. Step 4: Simplify right side
    9,818.28x = 102,633,115.11
  5. Step 5: Solve for x
    x = 102,633,115.11/9,818.28
  6. Step 6: Final answer
    x = 10,453.27

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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.