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Finding the Fourth Proportional to 9,356.34, 12,911.74 and 5,999.15

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Solution

The fourth proportional to 9,356.34, 12,911.74 and 5,999.15 is: 8,278.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,356.34 : 12,911.74 = 5,999.15 : x
  2. Step 2: Convert to fraction form
    9,356.34/12,911.74 = 5,999.15/x
  3. Step 3: Cross multiply
    9,356.34x = 12,911.74 × 5,999.15
  4. Step 4: Simplify right side
    9,356.34x = 77,459,465.02
  5. Step 5: Solve for x
    x = 77,459,465.02/9,356.34
  6. Step 6: Final answer
    x = 8,278.82

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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.