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Finding the Fourth Proportional to 9,696.33, 13,386.02 and 6,526.31

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Solution

The fourth proportional to 9,696.33, 13,386.02 and 6,526.31 is: 9,009.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.33 : 13,386.02 = 6,526.31 : x
  2. Step 2: Convert to fraction form
    9,696.33/13,386.02 = 6,526.31/x
  3. Step 3: Cross multiply
    9,696.33x = 13,386.02 × 6,526.31
  4. Step 4: Simplify right side
    9,696.33x = 87,361,216.62
  5. Step 5: Solve for x
    x = 87,361,216.62/9,696.33
  6. Step 6: Final answer
    x = 9,009.72

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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.