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Finding the Fourth Proportional to 9,376.32, 12,911.46 and 6,719.16

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Solution

The fourth proportional to 9,376.32, 12,911.46 and 6,719.16 is: 9,252.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.32 : 12,911.46 = 6,719.16 : x
  2. Step 2: Convert to fraction form
    9,376.32/12,911.46 = 6,719.16/x
  3. Step 3: Cross multiply
    9,376.32x = 12,911.46 × 6,719.16
  4. Step 4: Simplify right side
    9,376.32x = 86,754,165.57
  5. Step 5: Solve for x
    x = 86,754,165.57/9,376.32
  6. Step 6: Final answer
    x = 9,252.47

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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.