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Finding the Fourth Proportional to 9,374.16, 12,936.12 and 5,182.32

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Solution

The fourth proportional to 9,374.16, 12,936.12 and 5,182.32 is: 7,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.16 : 12,936.12 = 5,182.32 : x
  2. Step 2: Convert to fraction form
    9,374.16/12,936.12 = 5,182.32/x
  3. Step 3: Cross multiply
    9,374.16x = 12,936.12 × 5,182.32
  4. Step 4: Simplify right side
    9,374.16x = 67,039,113.40
  5. Step 5: Solve for x
    x = 67,039,113.40/9,374.16
  6. Step 6: Final answer
    x = 7,151.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.