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Finding the Fourth Proportional to 9,477.54, 14,222.43 and 4,283.46

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Solution

The fourth proportional to 9,477.54, 14,222.43 and 4,283.46 is: 6,427.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.54 : 14,222.43 = 4,283.46 : x
  2. Step 2: Convert to fraction form
    9,477.54/14,222.43 = 4,283.46/x
  3. Step 3: Cross multiply
    9,477.54x = 14,222.43 × 4,283.46
  4. Step 4: Simplify right side
    9,477.54x = 60,921,210.01
  5. Step 5: Solve for x
    x = 60,921,210.01/9,477.54
  6. Step 6: Final answer
    x = 6,427.96

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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.