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Finding the Fourth Proportional to 9,303.49, 12,836.82 and 5,527.93

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Solution

The fourth proportional to 9,303.49, 12,836.82 and 5,527.93 is: 7,627.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,303.49 : 12,836.82 = 5,527.93 : x
  2. Step 2: Convert to fraction form
    9,303.49/12,836.82 = 5,527.93/x
  3. Step 3: Cross multiply
    9,303.49x = 12,836.82 × 5,527.93
  4. Step 4: Simplify right side
    9,303.49x = 70,961,042.38
  5. Step 5: Solve for x
    x = 70,961,042.38/9,303.49
  6. Step 6: Final answer
    x = 7,627.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.