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Finding the Fourth Proportional to 9,525.84, 13,145.94 and 5,334

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Solution

The fourth proportional to 9,525.84, 13,145.94 and 5,334 is: 7,361.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.84 : 13,145.94 = 5,334 : x
  2. Step 2: Convert to fraction form
    9,525.84/13,145.94 = 5,334/x
  3. Step 3: Cross multiply
    9,525.84x = 13,145.94 × 5,334
  4. Step 4: Simplify right side
    9,525.84x = 70,120,443.96
  5. Step 5: Solve for x
    x = 70,120,443.96/9,525.84
  6. Step 6: Final answer
    x = 7,361.08

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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.