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Finding the Fourth Proportional to 9,302.34, 12,818.15 and 8,646.06

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Solution

The fourth proportional to 9,302.34, 12,818.15 and 8,646.06 is: 11,913.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.34 : 12,818.15 = 8,646.06 : x
  2. Step 2: Convert to fraction form
    9,302.34/12,818.15 = 8,646.06/x
  3. Step 3: Cross multiply
    9,302.34x = 12,818.15 × 8,646.06
  4. Step 4: Simplify right side
    9,302.34x = 110,826,493.99
  5. Step 5: Solve for x
    x = 110,826,493.99/9,302.34
  6. Step 6: Final answer
    x = 11,913.83

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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.