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Finding the Fourth Proportional to 9,730.54, 14,594.44 and 3,156.79

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Solution

The fourth proportional to 9,730.54, 14,594.44 and 3,156.79 is: 4,734.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.54 : 14,594.44 = 3,156.79 : x
  2. Step 2: Convert to fraction form
    9,730.54/14,594.44 = 3,156.79/x
  3. Step 3: Cross multiply
    9,730.54x = 14,594.44 × 3,156.79
  4. Step 4: Simplify right side
    9,730.54x = 46,071,517.17
  5. Step 5: Solve for x
    x = 46,071,517.17/9,730.54
  6. Step 6: Final answer
    x = 4,734.73

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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.