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Finding the Fourth Proportional to 9,804.72, 13,532.60 and 6,031.07

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Solution

The fourth proportional to 9,804.72, 13,532.60 and 6,031.07 is: 8,324.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.72 : 13,532.60 = 6,031.07 : x
  2. Step 2: Convert to fraction form
    9,804.72/13,532.60 = 6,031.07/x
  3. Step 3: Cross multiply
    9,804.72x = 13,532.60 × 6,031.07
  4. Step 4: Simplify right side
    9,804.72x = 81,616,005.30
  5. Step 5: Solve for x
    x = 81,616,005.30/9,804.72
  6. Step 6: Final answer
    x = 8,324.15

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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.