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Finding the Fourth Proportional to 28,064, 42,097.86 and 9,343.28

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Solution

The fourth proportional to 28,064, 42,097.86 and 9,343.28 is: 14,015.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,064 : 42,097.86 = 9,343.28 : x
  2. Step 2: Convert to fraction form
    28,064/42,097.86 = 9,343.28/x
  3. Step 3: Cross multiply
    28,064x = 42,097.86 × 9,343.28
  4. Step 4: Simplify right side
    28,064x = 393,332,093.38
  5. Step 5: Solve for x
    x = 393,332,093.38/28,064
  6. Step 6: Final answer
    x = 14,015.54

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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.