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Finding the Fourth Proportional to 9,302.64, 12,841.02 and 6,159.84

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Solution

The fourth proportional to 9,302.64, 12,841.02 and 6,159.84 is: 8,502.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.64 : 12,841.02 = 6,159.84 : x
  2. Step 2: Convert to fraction form
    9,302.64/12,841.02 = 6,159.84/x
  3. Step 3: Cross multiply
    9,302.64x = 12,841.02 × 6,159.84
  4. Step 4: Simplify right side
    9,302.64x = 79,098,628.64
  5. Step 5: Solve for x
    x = 79,098,628.64/9,302.64
  6. Step 6: Final answer
    x = 8,502.82

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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.