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Finding the Fourth Proportional to 9,685.02, 14,528.01 and 5,814.30

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Solution

The fourth proportional to 9,685.02, 14,528.01 and 5,814.30 is: 8,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.02 : 14,528.01 = 5,814.30 : x
  2. Step 2: Convert to fraction form
    9,685.02/14,528.01 = 5,814.30/x
  3. Step 3: Cross multiply
    9,685.02x = 14,528.01 × 5,814.30
  4. Step 4: Simplify right side
    9,685.02x = 84,470,208.54
  5. Step 5: Solve for x
    x = 84,470,208.54/9,685.02
  6. Step 6: Final answer
    x = 8,721.74

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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.