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Finding the Fourth Proportional to 9,679.84, 13,353.60 and 6,537.12

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Solution

The fourth proportional to 9,679.84, 13,353.60 and 6,537.12 is: 9,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.84 : 13,353.60 = 6,537.12 : x
  2. Step 2: Convert to fraction form
    9,679.84/13,353.60 = 6,537.12/x
  3. Step 3: Cross multiply
    9,679.84x = 13,353.60 × 6,537.12
  4. Step 4: Simplify right side
    9,679.84x = 87,294,085.63
  5. Step 5: Solve for x
    x = 87,294,085.63/9,679.84
  6. Step 6: Final answer
    x = 9,018.13

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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.