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Finding the Fourth Proportional to 9,632.98, 13,274.85 and 6,833.62

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Solution

The fourth proportional to 9,632.98, 13,274.85 and 6,833.62 is: 9,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.98 : 13,274.85 = 6,833.62 : x
  2. Step 2: Convert to fraction form
    9,632.98/13,274.85 = 6,833.62/x
  3. Step 3: Cross multiply
    9,632.98x = 13,274.85 × 6,833.62
  4. Step 4: Simplify right side
    9,632.98x = 90,715,280.46
  5. Step 5: Solve for x
    x = 90,715,280.46/9,632.98
  6. Step 6: Final answer
    x = 9,417.16

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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.