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Finding the Fourth Proportional to 9,456.95, 13,050.91 and 5,208.46

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Solution

The fourth proportional to 9,456.95, 13,050.91 and 5,208.46 is: 7,187.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.95 : 13,050.91 = 5,208.46 : x
  2. Step 2: Convert to fraction form
    9,456.95/13,050.91 = 5,208.46/x
  3. Step 3: Cross multiply
    9,456.95x = 13,050.91 × 5,208.46
  4. Step 4: Simplify right side
    9,456.95x = 67,975,142.70
  5. Step 5: Solve for x
    x = 67,975,142.70/9,456.95
  6. Step 6: Final answer
    x = 7,187.85

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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.