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Finding the Fourth Proportional to 9,984.93, 14,972.59 and 5,826.16

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Solution

The fourth proportional to 9,984.93, 14,972.59 and 5,826.16 is: 8,736.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,984.93 : 14,972.59 = 5,826.16 : x
  2. Step 2: Convert to fraction form
    9,984.93/14,972.59 = 5,826.16/x
  3. Step 3: Cross multiply
    9,984.93x = 14,972.59 × 5,826.16
  4. Step 4: Simplify right side
    9,984.93x = 87,232,704.95
  5. Step 5: Solve for x
    x = 87,232,704.95/9,984.93
  6. Step 6: Final answer
    x = 8,736.44

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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.