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Finding the Fourth Proportional to 9,790.93, 13,511.68 and 5,541.98

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Solution

The fourth proportional to 9,790.93, 13,511.68 and 5,541.98 is: 7,648.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,790.93 : 13,511.68 = 5,541.98 : x
  2. Step 2: Convert to fraction form
    9,790.93/13,511.68 = 5,541.98/x
  3. Step 3: Cross multiply
    9,790.93x = 13,511.68 × 5,541.98
  4. Step 4: Simplify right side
    9,790.93x = 74,881,460.33
  5. Step 5: Solve for x
    x = 74,881,460.33/9,790.93
  6. Step 6: Final answer
    x = 7,648.05

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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.