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Finding the Fourth Proportional to 9,632.25, 13,285.22 and 6,653.07

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Solution

The fourth proportional to 9,632.25, 13,285.22 and 6,653.07 is: 9,176.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.25 : 13,285.22 = 6,653.07 : x
  2. Step 2: Convert to fraction form
    9,632.25/13,285.22 = 6,653.07/x
  3. Step 3: Cross multiply
    9,632.25x = 13,285.22 × 6,653.07
  4. Step 4: Simplify right side
    9,632.25x = 88,387,465.36
  5. Step 5: Solve for x
    x = 88,387,465.36/9,632.25
  6. Step 6: Final answer
    x = 9,176.20

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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.