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Finding the Fourth Proportional to 9,056.49, 13,564.67 and 6,961.07

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Solution

The fourth proportional to 9,056.49, 13,564.67 and 6,961.07 is: 10,426.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056.49 : 13,564.67 = 6,961.07 : x
  2. Step 2: Convert to fraction form
    9,056.49/13,564.67 = 6,961.07/x
  3. Step 3: Cross multiply
    9,056.49x = 13,564.67 × 6,961.07
  4. Step 4: Simplify right side
    9,056.49x = 94,424,514.77
  5. Step 5: Solve for x
    x = 94,424,514.77/9,056.49
  6. Step 6: Final answer
    x = 10,426.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.