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Finding the Fourth Proportional to 9,500.40, 13,110.54 and 5,308.65

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Solution

The fourth proportional to 9,500.40, 13,110.54 and 5,308.65 is: 7,325.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.40 : 13,110.54 = 5,308.65 : x
  2. Step 2: Convert to fraction form
    9,500.40/13,110.54 = 5,308.65/x
  3. Step 3: Cross multiply
    9,500.40x = 13,110.54 × 5,308.65
  4. Step 4: Simplify right side
    9,500.40x = 69,599,268.17
  5. Step 5: Solve for x
    x = 69,599,268.17/9,500.40
  6. Step 6: Final answer
    x = 7,325.93

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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.