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Finding the Fourth Proportional to 9,302.49, 12,833.80 and 5,321.47

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Solution

The fourth proportional to 9,302.49, 12,833.80 and 5,321.47 is: 7,341.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.49 : 12,833.80 = 5,321.47 : x
  2. Step 2: Convert to fraction form
    9,302.49/12,833.80 = 5,321.47/x
  3. Step 3: Cross multiply
    9,302.49x = 12,833.80 × 5,321.47
  4. Step 4: Simplify right side
    9,302.49x = 68,294,681.69
  5. Step 5: Solve for x
    x = 68,294,681.69/9,302.49
  6. Step 6: Final answer
    x = 7,341.55

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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.