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Finding the Fourth Proportional to 9,696.12, 13,385.75 and 6,526.08

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Solution

The fourth proportional to 9,696.12, 13,385.75 and 6,526.08 is: 9,009.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.12 : 13,385.75 = 6,526.08 : x
  2. Step 2: Convert to fraction form
    9,696.12/13,385.75 = 6,526.08/x
  3. Step 3: Cross multiply
    9,696.12x = 13,385.75 × 6,526.08
  4. Step 4: Simplify right side
    9,696.12x = 87,356,491.68
  5. Step 5: Solve for x
    x = 87,356,491.68/9,696.12
  6. Step 6: Final answer
    x = 9,009.43

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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.