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Finding the Fourth Proportional to 9,632.64, 13,302.72 and 8,298.84

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Solution

The fourth proportional to 9,632.64, 13,302.72 and 8,298.84 is: 11,460.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.64 : 13,302.72 = 8,298.84 : x
  2. Step 2: Convert to fraction form
    9,632.64/13,302.72 = 8,298.84/x
  3. Step 3: Cross multiply
    9,632.64x = 13,302.72 × 8,298.84
  4. Step 4: Simplify right side
    9,632.64x = 110,397,144.84
  5. Step 5: Solve for x
    x = 110,397,144.84/9,632.64
  6. Step 6: Final answer
    x = 11,460.74

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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.