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Finding the Fourth Proportional to 9,305.96, 12,841.53 and 6,156.68

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Solution

The fourth proportional to 9,305.96, 12,841.53 and 6,156.68 is: 8,495.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.96 : 12,841.53 = 6,156.68 : x
  2. Step 2: Convert to fraction form
    9,305.96/12,841.53 = 6,156.68/x
  3. Step 3: Cross multiply
    9,305.96x = 12,841.53 × 6,156.68
  4. Step 4: Simplify right side
    9,305.96x = 79,061,126.71
  5. Step 5: Solve for x
    x = 79,061,126.71/9,305.96
  6. Step 6: Final answer
    x = 8,495.76

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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.