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Finding the Fourth Proportional to 9,734.20, 14,606.98 and 6,406.56

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Solution

The fourth proportional to 9,734.20, 14,606.98 and 6,406.56 is: 9,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.20 : 14,606.98 = 6,406.56 : x
  2. Step 2: Convert to fraction form
    9,734.20/14,606.98 = 6,406.56/x
  3. Step 3: Cross multiply
    9,734.20x = 14,606.98 × 6,406.56
  4. Step 4: Simplify right side
    9,734.20x = 93,580,477.77
  5. Step 5: Solve for x
    x = 93,580,477.77/9,734.20
  6. Step 6: Final answer
    x = 9,613.58

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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.