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Finding the Fourth Proportional to 9,953.46, 13,735.43 and 5,477.17

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Solution

The fourth proportional to 9,953.46, 13,735.43 and 5,477.17 is: 7,558.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.46 : 13,735.43 = 5,477.17 : x
  2. Step 2: Convert to fraction form
    9,953.46/13,735.43 = 5,477.17/x
  3. Step 3: Cross multiply
    9,953.46x = 13,735.43 × 5,477.17
  4. Step 4: Simplify right side
    9,953.46x = 75,231,285.13
  5. Step 5: Solve for x
    x = 75,231,285.13/9,953.46
  6. Step 6: Final answer
    x = 7,558.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.