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Finding the Fourth Proportional to 9,477.69, 14,216.41 and 4,283.56

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Solution

The fourth proportional to 9,477.69, 14,216.41 and 4,283.56 is: 6,425.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.69 : 14,216.41 = 4,283.56 : x
  2. Step 2: Convert to fraction form
    9,477.69/14,216.41 = 4,283.56/x
  3. Step 3: Cross multiply
    9,477.69x = 14,216.41 × 4,283.56
  4. Step 4: Simplify right side
    9,477.69x = 60,896,845.22
  5. Step 5: Solve for x
    x = 60,896,845.22/9,477.69
  6. Step 6: Final answer
    x = 6,425.28

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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.