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Finding the Fourth Proportional to 9,274.18, 12,802.80 and 5,294.52

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Solution

The fourth proportional to 9,274.18, 12,802.80 and 5,294.52 is: 7,308.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.18 : 12,802.80 = 5,294.52 : x
  2. Step 2: Convert to fraction form
    9,274.18/12,802.80 = 5,294.52/x
  3. Step 3: Cross multiply
    9,274.18x = 12,802.80 × 5,294.52
  4. Step 4: Simplify right side
    9,274.18x = 67,784,670.73
  5. Step 5: Solve for x
    x = 67,784,670.73/9,274.18
  6. Step 6: Final answer
    x = 7,308.97

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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.