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Finding the Fourth Proportional to 9,376.94, 12,918.16 and 6,539.15

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Solution

The fourth proportional to 9,376.94, 12,918.16 and 6,539.15 is: 9,008.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,376.94 : 12,918.16 = 6,539.15 : x
  2. Step 2: Convert to fraction form
    9,376.94/12,918.16 = 6,539.15/x
  3. Step 3: Cross multiply
    9,376.94x = 12,918.16 × 6,539.15
  4. Step 4: Simplify right side
    9,376.94x = 84,473,785.96
  5. Step 5: Solve for x
    x = 84,473,785.96/9,376.94
  6. Step 6: Final answer
    x = 9,008.67

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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.