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Finding the Fourth Proportional to 9,739.37, 14,603.86 and 5,054.66

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Solution

The fourth proportional to 9,739.37, 14,603.86 and 5,054.66 is: 7,579.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.37 : 14,603.86 = 5,054.66 : x
  2. Step 2: Convert to fraction form
    9,739.37/14,603.86 = 5,054.66/x
  3. Step 3: Cross multiply
    9,739.37x = 14,603.86 × 5,054.66
  4. Step 4: Simplify right side
    9,739.37x = 73,817,570.86
  5. Step 5: Solve for x
    x = 73,817,570.86/9,739.37
  6. Step 6: Final answer
    x = 7,579.29

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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.