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Finding the Fourth Proportional to 9,676.84, 14,532.52 and 7,925.16

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Solution

The fourth proportional to 9,676.84, 14,532.52 and 7,925.16 is: 11,901.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,676.84 : 14,532.52 = 7,925.16 : x
  2. Step 2: Convert to fraction form
    9,676.84/14,532.52 = 7,925.16/x
  3. Step 3: Cross multiply
    9,676.84x = 14,532.52 × 7,925.16
  4. Step 4: Simplify right side
    9,676.84x = 115,172,546.20
  5. Step 5: Solve for x
    x = 115,172,546.20/9,676.84
  6. Step 6: Final answer
    x = 11,901.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.