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Finding the Fourth Proportional to 9,757.07, 13,464.93 and 5,508.98

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Solution

The fourth proportional to 9,757.07, 13,464.93 and 5,508.98 is: 7,602.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.07 : 13,464.93 = 5,508.98 : x
  2. Step 2: Convert to fraction form
    9,757.07/13,464.93 = 5,508.98/x
  3. Step 3: Cross multiply
    9,757.07x = 13,464.93 × 5,508.98
  4. Step 4: Simplify right side
    9,757.07x = 74,177,962.75
  5. Step 5: Solve for x
    x = 74,177,962.75/9,757.07
  6. Step 6: Final answer
    x = 7,602.49

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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.