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Finding the Fourth Proportional to 9,092.66, 12,547.98 and 6,819.99

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Solution

The fourth proportional to 9,092.66, 12,547.98 and 6,819.99 is: 9,411.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,092.66 : 12,547.98 = 6,819.99 : x
  2. Step 2: Convert to fraction form
    9,092.66/12,547.98 = 6,819.99/x
  3. Step 3: Cross multiply
    9,092.66x = 12,547.98 × 6,819.99
  4. Step 4: Simplify right side
    9,092.66x = 85,577,098.12
  5. Step 5: Solve for x
    x = 85,577,098.12/9,092.66
  6. Step 6: Final answer
    x = 9,411.67

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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.