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Finding the Fourth Proportional to 9,820.59, 13,548.79 and 6,465.33

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Solution

The fourth proportional to 9,820.59, 13,548.79 and 6,465.33 is: 8,919.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.59 : 13,548.79 = 6,465.33 : x
  2. Step 2: Convert to fraction form
    9,820.59/13,548.79 = 6,465.33/x
  3. Step 3: Cross multiply
    9,820.59x = 13,548.79 × 6,465.33
  4. Step 4: Simplify right side
    9,820.59x = 87,597,398.45
  5. Step 5: Solve for x
    x = 87,597,398.45/9,820.59
  6. Step 6: Final answer
    x = 8,919.77

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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.