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Finding the Fourth Proportional to 9,873.53, 13,625.48 and 5,624.40

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Solution

The fourth proportional to 9,873.53, 13,625.48 and 5,624.40 is: 7,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873.53 : 13,625.48 = 5,624.40 : x
  2. Step 2: Convert to fraction form
    9,873.53/13,625.48 = 5,624.40/x
  3. Step 3: Cross multiply
    9,873.53x = 13,625.48 × 5,624.40
  4. Step 4: Simplify right side
    9,873.53x = 76,635,214.87
  5. Step 5: Solve for x
    x = 76,635,214.87/9,873.53
  6. Step 6: Final answer
    x = 7,761.68

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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.