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Finding the Fourth Proportional to 9,588.84, 13,233.06 and 5,397

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Solution

The fourth proportional to 9,588.84, 13,233.06 and 5,397 is: 7,448.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.84 : 13,233.06 = 5,397 : x
  2. Step 2: Convert to fraction form
    9,588.84/13,233.06 = 5,397/x
  3. Step 3: Cross multiply
    9,588.84x = 13,233.06 × 5,397
  4. Step 4: Simplify right side
    9,588.84x = 71,418,824.82
  5. Step 5: Solve for x
    x = 71,418,824.82/9,588.84
  6. Step 6: Final answer
    x = 7,448.12

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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.