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Finding the Fourth Proportional to 9,453.83, 13,045.71 and 5,204.07

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Solution

The fourth proportional to 9,453.83, 13,045.71 and 5,204.07 is: 7,181.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.83 : 13,045.71 = 5,204.07 : x
  2. Step 2: Convert to fraction form
    9,453.83/13,045.71 = 5,204.07/x
  3. Step 3: Cross multiply
    9,453.83x = 13,045.71 × 5,204.07
  4. Step 4: Simplify right side
    9,453.83x = 67,890,788.04
  5. Step 5: Solve for x
    x = 67,890,788.04/9,453.83
  6. Step 6: Final answer
    x = 7,181.30

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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.