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Finding the Fourth Proportional to 9,721.35, 14,572.31 and 4,794.53

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Solution

The fourth proportional to 9,721.35, 14,572.31 and 4,794.53 is: 7,186.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,721.35 : 14,572.31 = 4,794.53 : x
  2. Step 2: Convert to fraction form
    9,721.35/14,572.31 = 4,794.53/x
  3. Step 3: Cross multiply
    9,721.35x = 14,572.31 × 4,794.53
  4. Step 4: Simplify right side
    9,721.35x = 69,867,280.63
  5. Step 5: Solve for x
    x = 69,867,280.63/9,721.35
  6. Step 6: Final answer
    x = 7,186.99

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.