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Finding the Fourth Proportional to 9,525.48, 13,146.54 and 5,334

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Solution

The fourth proportional to 9,525.48, 13,146.54 and 5,334 is: 7,361.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.48 : 13,146.54 = 5,334 : x
  2. Step 2: Convert to fraction form
    9,525.48/13,146.54 = 5,334/x
  3. Step 3: Cross multiply
    9,525.48x = 13,146.54 × 5,334
  4. Step 4: Simplify right side
    9,525.48x = 70,123,644.36
  5. Step 5: Solve for x
    x = 70,123,644.36/9,525.48
  6. Step 6: Final answer
    x = 7,361.69

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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.