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Finding the Fourth Proportional to 9,374.76, 12,936.76 and 5,182.92

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Solution

The fourth proportional to 9,374.76, 12,936.76 and 5,182.92 is: 7,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.76 : 12,936.76 = 5,182.92 : x
  2. Step 2: Convert to fraction form
    9,374.76/12,936.76 = 5,182.92/x
  3. Step 3: Cross multiply
    9,374.76x = 12,936.76 × 5,182.92
  4. Step 4: Simplify right side
    9,374.76x = 67,050,192.14
  5. Step 5: Solve for x
    x = 67,050,192.14/9,374.76
  6. Step 6: Final answer
    x = 7,152.20

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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.