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Finding the Fourth Proportional to 9,374.11, 12,931.16 and 6,013.19

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Solution

The fourth proportional to 9,374.11, 12,931.16 and 6,013.19 is: 8,294.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,374.11 : 12,931.16 = 6,013.19 : x
  2. Step 2: Convert to fraction form
    9,374.11/12,931.16 = 6,013.19/x
  3. Step 3: Cross multiply
    9,374.11x = 12,931.16 × 6,013.19
  4. Step 4: Simplify right side
    9,374.11x = 77,757,427.28
  5. Step 5: Solve for x
    x = 77,757,427.28/9,374.11
  6. Step 6: Final answer
    x = 8,294.91

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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.