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Finding the Fourth Proportional to 9,885.53, 14,813.62 and 9,641.05

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Solution

The fourth proportional to 9,885.53, 14,813.62 and 9,641.05 is: 14,447.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.53 : 14,813.62 = 9,641.05 : x
  2. Step 2: Convert to fraction form
    9,885.53/14,813.62 = 9,641.05/x
  3. Step 3: Cross multiply
    9,885.53x = 14,813.62 × 9,641.05
  4. Step 4: Simplify right side
    9,885.53x = 142,818,789.96
  5. Step 5: Solve for x
    x = 142,818,789.96/9,885.53
  6. Step 6: Final answer
    x = 14,447.25

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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.