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Finding the Fourth Proportional to 9,674.70, 14,504.13 and 4,477.02

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Solution

The fourth proportional to 9,674.70, 14,504.13 and 4,477.02 is: 6,711.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.70 : 14,504.13 = 4,477.02 : x
  2. Step 2: Convert to fraction form
    9,674.70/14,504.13 = 4,477.02/x
  3. Step 3: Cross multiply
    9,674.70x = 14,504.13 × 4,477.02
  4. Step 4: Simplify right side
    9,674.70x = 64,935,280.09
  5. Step 5: Solve for x
    x = 64,935,280.09/9,674.70
  6. Step 6: Final answer
    x = 6,711.86

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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.