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Finding the Fourth Proportional to 9,984.68, 14,977.02 and 3,059.18

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Solution

The fourth proportional to 9,984.68, 14,977.02 and 3,059.18 is: 4,588.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.68 : 14,977.02 = 3,059.18 : x
  2. Step 2: Convert to fraction form
    9,984.68/14,977.02 = 3,059.18/x
  3. Step 3: Cross multiply
    9,984.68x = 14,977.02 × 3,059.18
  4. Step 4: Simplify right side
    9,984.68x = 45,817,400.04
  5. Step 5: Solve for x
    x = 45,817,400.04/9,984.68
  6. Step 6: Final answer
    x = 4,588.77

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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.