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Finding the Fourth Proportional to 9,980.56, 14,971.74 and 2,584.99

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Solution

The fourth proportional to 9,980.56, 14,971.74 and 2,584.99 is: 3,877.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.56 : 14,971.74 = 2,584.99 : x
  2. Step 2: Convert to fraction form
    9,980.56/14,971.74 = 2,584.99/x
  3. Step 3: Cross multiply
    9,980.56x = 14,971.74 × 2,584.99
  4. Step 4: Simplify right side
    9,980.56x = 38,701,798.18
  5. Step 5: Solve for x
    x = 38,701,798.18/9,980.56
  6. Step 6: Final answer
    x = 3,877.72

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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.