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Finding the Fourth Proportional to 9,484.74, 14,232.60 and 6,197.76

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Solution

The fourth proportional to 9,484.74, 14,232.60 and 6,197.76 is: 9,300.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.74 : 14,232.60 = 6,197.76 : x
  2. Step 2: Convert to fraction form
    9,484.74/14,232.60 = 6,197.76/x
  3. Step 3: Cross multiply
    9,484.74x = 14,232.60 × 6,197.76
  4. Step 4: Simplify right side
    9,484.74x = 88,210,238.98
  5. Step 5: Solve for x
    x = 88,210,238.98/9,484.74
  6. Step 6: Final answer
    x = 9,300.23

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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.