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Finding the Fourth Proportional to 9,962.58, 14,924.43 and 7,761

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Solution

The fourth proportional to 9,962.58, 14,924.43 and 7,761 is: 11,626.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,962.58 : 14,924.43 = 7,761 : x
  2. Step 2: Convert to fraction form
    9,962.58/14,924.43 = 7,761/x
  3. Step 3: Cross multiply
    9,962.58x = 14,924.43 × 7,761
  4. Step 4: Simplify right side
    9,962.58x = 115,828,462.43
  5. Step 5: Solve for x
    x = 115,828,462.43/9,962.58
  6. Step 6: Final answer
    x = 11,626.35

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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.