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Finding the Fourth Proportional to 9,465.61, 13,063.14 and 5,273.86

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Solution

The fourth proportional to 9,465.61, 13,063.14 and 5,273.86 is: 7,278.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,465.61 : 13,063.14 = 5,273.86 : x
  2. Step 2: Convert to fraction form
    9,465.61/13,063.14 = 5,273.86/x
  3. Step 3: Cross multiply
    9,465.61x = 13,063.14 × 5,273.86
  4. Step 4: Simplify right side
    9,465.61x = 68,893,171.52
  5. Step 5: Solve for x
    x = 68,893,171.52/9,465.61
  6. Step 6: Final answer
    x = 7,278.26

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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.