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Finding the Fourth Proportional to 9,493.40, 13,100.88 and 5,301.65

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Solution

The fourth proportional to 9,493.40, 13,100.88 and 5,301.65 is: 7,316.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.40 : 13,100.88 = 5,301.65 : x
  2. Step 2: Convert to fraction form
    9,493.40/13,100.88 = 5,301.65/x
  3. Step 3: Cross multiply
    9,493.40x = 13,100.88 × 5,301.65
  4. Step 4: Simplify right side
    9,493.40x = 69,456,280.45
  5. Step 5: Solve for x
    x = 69,456,280.45/9,493.40
  6. Step 6: Final answer
    x = 7,316.27

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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.