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Finding the Fourth Proportional to 9,541.06, 13,183.77 and 7,460.98

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Solution

The fourth proportional to 9,541.06, 13,183.77 and 7,460.98 is: 10,309.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,541.06 : 13,183.77 = 7,460.98 : x
  2. Step 2: Convert to fraction form
    9,541.06/13,183.77 = 7,460.98/x
  3. Step 3: Cross multiply
    9,541.06x = 13,183.77 × 7,460.98
  4. Step 4: Simplify right side
    9,541.06x = 98,363,844.29
  5. Step 5: Solve for x
    x = 98,363,844.29/9,541.06
  6. Step 6: Final answer
    x = 10,309.53

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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.