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Finding the Fourth Proportional to 9,292.41, 12,823.54 and 5,043.47

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Solution

The fourth proportional to 9,292.41, 12,823.54 and 5,043.47 is: 6,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.41 : 12,823.54 = 5,043.47 : x
  2. Step 2: Convert to fraction form
    9,292.41/12,823.54 = 5,043.47/x
  3. Step 3: Cross multiply
    9,292.41x = 12,823.54 × 5,043.47
  4. Step 4: Simplify right side
    9,292.41x = 64,675,114.07
  5. Step 5: Solve for x
    x = 64,675,114.07/9,292.41
  6. Step 6: Final answer
    x = 6,959.99

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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.