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Finding the Fourth Proportional to 9,349.51, 14,036.51 and 6,577.49

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Solution

The fourth proportional to 9,349.51, 14,036.51 and 6,577.49 is: 9,874.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.51 : 14,036.51 = 6,577.49 : x
  2. Step 2: Convert to fraction form
    9,349.51/14,036.51 = 6,577.49/x
  3. Step 3: Cross multiply
    9,349.51x = 14,036.51 × 6,577.49
  4. Step 4: Simplify right side
    9,349.51x = 92,325,004.16
  5. Step 5: Solve for x
    x = 92,325,004.16/9,349.51
  6. Step 6: Final answer
    x = 9,874.85

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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.