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Finding the Fourth Proportional to 9,730.42, 14,594.26 and 3,156.66

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Solution

The fourth proportional to 9,730.42, 14,594.26 and 3,156.66 is: 4,734.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.42 : 14,594.26 = 3,156.66 : x
  2. Step 2: Convert to fraction form
    9,730.42/14,594.26 = 3,156.66/x
  3. Step 3: Cross multiply
    9,730.42x = 14,594.26 × 3,156.66
  4. Step 4: Simplify right side
    9,730.42x = 46,069,100.99
  5. Step 5: Solve for x
    x = 46,069,100.99/9,730.42
  6. Step 6: Final answer
    x = 4,734.55

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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.