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Finding the Fourth Proportional to 9,924, 14,878.68 and 4,733.52

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Solution

The fourth proportional to 9,924, 14,878.68 and 4,733.52 is: 7,096.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924 : 14,878.68 = 4,733.52 : x
  2. Step 2: Convert to fraction form
    9,924/14,878.68 = 4,733.52/x
  3. Step 3: Cross multiply
    9,924x = 14,878.68 × 4,733.52
  4. Step 4: Simplify right side
    9,924x = 70,428,529.35
  5. Step 5: Solve for x
    x = 70,428,529.35/9,924
  6. Step 6: Final answer
    x = 7,096.79

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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.