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Finding the Fourth Proportional to 9,953.42, 13,735.73 and 5,477.50

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Solution

The fourth proportional to 9,953.42, 13,735.73 and 5,477.50 is: 7,558.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,953.42 : 13,735.73 = 5,477.50 : x
  2. Step 2: Convert to fraction form
    9,953.42/13,735.73 = 5,477.50/x
  3. Step 3: Cross multiply
    9,953.42x = 13,735.73 × 5,477.50
  4. Step 4: Simplify right side
    9,953.42x = 75,237,440.43
  5. Step 5: Solve for x
    x = 75,237,440.43/9,953.42
  6. Step 6: Final answer
    x = 7,558.95

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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.