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Finding the Fourth Proportional to 9,476.09, 13,080.08 and 6,496.30

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Solution

The fourth proportional to 9,476.09, 13,080.08 and 6,496.30 is: 8,967.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.09 : 13,080.08 = 6,496.30 : x
  2. Step 2: Convert to fraction form
    9,476.09/13,080.08 = 6,496.30/x
  3. Step 3: Cross multiply
    9,476.09x = 13,080.08 × 6,496.30
  4. Step 4: Simplify right side
    9,476.09x = 84,972,156.29
  5. Step 5: Solve for x
    x = 84,972,156.29/9,476.09
  6. Step 6: Final answer
    x = 8,967.01

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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.