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Finding the Fourth Proportional to 9,673.83, 14,501.63 and 5,285.25

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Solution

The fourth proportional to 9,673.83, 14,501.63 and 5,285.25 is: 7,922.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.83 : 14,501.63 = 5,285.25 : x
  2. Step 2: Convert to fraction form
    9,673.83/14,501.63 = 5,285.25/x
  3. Step 3: Cross multiply
    9,673.83x = 14,501.63 × 5,285.25
  4. Step 4: Simplify right side
    9,673.83x = 76,644,753.17
  5. Step 5: Solve for x
    x = 76,644,753.17/9,673.83
  6. Step 6: Final answer
    x = 7,922.90

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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.