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Finding the Fourth Proportional to 9,820.52, 14,796.32 and 8,884.56

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Solution

The fourth proportional to 9,820.52, 14,796.32 and 8,884.56 is: 13,386.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,820.52 : 14,796.32 = 8,884.56 : x
  2. Step 2: Convert to fraction form
    9,820.52/14,796.32 = 8,884.56/x
  3. Step 3: Cross multiply
    9,820.52x = 14,796.32 × 8,884.56
  4. Step 4: Simplify right side
    9,820.52x = 131,458,748.40
  5. Step 5: Solve for x
    x = 131,458,748.40/9,820.52
  6. Step 6: Final answer
    x = 13,386.14

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.