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Finding the Fourth Proportional to 9,657.69, 14,493.02 and 3,417.68

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Solution

The fourth proportional to 9,657.69, 14,493.02 and 3,417.68 is: 5,128.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,657.69 : 14,493.02 = 3,417.68 : x
  2. Step 2: Convert to fraction form
    9,657.69/14,493.02 = 3,417.68/x
  3. Step 3: Cross multiply
    9,657.69x = 14,493.02 × 3,417.68
  4. Step 4: Simplify right side
    9,657.69x = 49,532,440.67
  5. Step 5: Solve for x
    x = 49,532,440.67/9,657.69
  6. Step 6: Final answer
    x = 5,128.81

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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.