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Finding the Fourth Proportional to 9,794.48, 13,513.06 and 6,437.03

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Solution

The fourth proportional to 9,794.48, 13,513.06 and 6,437.03 is: 8,880.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.48 : 13,513.06 = 6,437.03 : x
  2. Step 2: Convert to fraction form
    9,794.48/13,513.06 = 6,437.03/x
  3. Step 3: Cross multiply
    9,794.48x = 13,513.06 × 6,437.03
  4. Step 4: Simplify right side
    9,794.48x = 86,983,872.86
  5. Step 5: Solve for x
    x = 86,983,872.86/9,794.48
  6. Step 6: Final answer
    x = 8,880.91

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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.