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Finding the Fourth Proportional to 9,658.16, 13,325.32 and 6,669.28

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Solution

The fourth proportional to 9,658.16, 13,325.32 and 6,669.28 is: 9,201.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,658.16 : 13,325.32 = 6,669.28 : x
  2. Step 2: Convert to fraction form
    9,658.16/13,325.32 = 6,669.28/x
  3. Step 3: Cross multiply
    9,658.16x = 13,325.32 × 6,669.28
  4. Step 4: Simplify right side
    9,658.16x = 88,870,290.17
  5. Step 5: Solve for x
    x = 88,870,290.17/9,658.16
  6. Step 6: Final answer
    x = 9,201.58

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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.