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Finding the Fourth Proportional to 9,280.82, 12,809.93 and 5,741.94

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Solution

The fourth proportional to 9,280.82, 12,809.93 and 5,741.94 is: 7,925.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,280.82 : 12,809.93 = 5,741.94 : x
  2. Step 2: Convert to fraction form
    9,280.82/12,809.93 = 5,741.94/x
  3. Step 3: Cross multiply
    9,280.82x = 12,809.93 × 5,741.94
  4. Step 4: Simplify right side
    9,280.82x = 73,553,849.46
  5. Step 5: Solve for x
    x = 73,553,849.46/9,280.82
  6. Step 6: Final answer
    x = 7,925.36

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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.