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Finding the Fourth Proportional to 9,484.29, 14,222.79 and 6,553.71

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Solution

The fourth proportional to 9,484.29, 14,222.79 and 6,553.71 is: 9,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.29 : 14,222.79 = 6,553.71 : x
  2. Step 2: Convert to fraction form
    9,484.29/14,222.79 = 6,553.71/x
  3. Step 3: Cross multiply
    9,484.29x = 14,222.79 × 6,553.71
  4. Step 4: Simplify right side
    9,484.29x = 93,212,041.05
  5. Step 5: Solve for x
    x = 93,212,041.05/9,484.29
  6. Step 6: Final answer
    x = 9,828.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.