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Finding the Fourth Proportional to 9,374.02, 12,935.64 and 5,182

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Solution

The fourth proportional to 9,374.02, 12,935.64 and 5,182 is: 7,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.02 : 12,935.64 = 5,182 : x
  2. Step 2: Convert to fraction form
    9,374.02/12,935.64 = 5,182/x
  3. Step 3: Cross multiply
    9,374.02x = 12,935.64 × 5,182
  4. Step 4: Simplify right side
    9,374.02x = 67,032,486.48
  5. Step 5: Solve for x
    x = 67,032,486.48/9,374.02
  6. Step 6: Final answer
    x = 7,150.88

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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.