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Finding the Fourth Proportional to 6,602, 9,884.57 and 5,445.93

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Solution

The fourth proportional to 6,602, 9,884.57 and 5,445.93 is: 8,153.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,602 : 9,884.57 = 5,445.93 : x
  2. Step 2: Convert to fraction form
    6,602/9,884.57 = 5,445.93/x
  3. Step 3: Cross multiply
    6,602x = 9,884.57 × 5,445.93
  4. Step 4: Simplify right side
    6,602x = 53,830,676.30
  5. Step 5: Solve for x
    x = 53,830,676.30/6,602
  6. Step 6: Final answer
    x = 8,153.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.