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Finding the Fourth Proportional to 9,976.68, 14,971.68 and 5,598

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Solution

The fourth proportional to 9,976.68, 14,971.68 and 5,598 is: 8,400.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.68 : 14,971.68 = 5,598 : x
  2. Step 2: Convert to fraction form
    9,976.68/14,971.68 = 5,598/x
  3. Step 3: Cross multiply
    9,976.68x = 14,971.68 × 5,598
  4. Step 4: Simplify right side
    9,976.68x = 83,811,464.64
  5. Step 5: Solve for x
    x = 83,811,464.64/9,976.68
  6. Step 6: Final answer
    x = 8,400.74

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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.