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Finding the Fourth Proportional to 9,070.29, 12,524.63 and 6,828.30

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Solution

The fourth proportional to 9,070.29, 12,524.63 and 6,828.30 is: 9,428.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,070.29 : 12,524.63 = 6,828.30 : x
  2. Step 2: Convert to fraction form
    9,070.29/12,524.63 = 6,828.30/x
  3. Step 3: Cross multiply
    9,070.29x = 12,524.63 × 6,828.30
  4. Step 4: Simplify right side
    9,070.29x = 85,521,896.89
  5. Step 5: Solve for x
    x = 85,521,896.89/9,070.29
  6. Step 6: Final answer
    x = 9,428.79

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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.