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Finding the Fourth Proportional to 9,334.16, 12,875.62 and 5,975.75

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Solution

The fourth proportional to 9,334.16, 12,875.62 and 5,975.75 is: 8,243.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.16 : 12,875.62 = 5,975.75 : x
  2. Step 2: Convert to fraction form
    9,334.16/12,875.62 = 5,975.75/x
  3. Step 3: Cross multiply
    9,334.16x = 12,875.62 × 5,975.75
  4. Step 4: Simplify right side
    9,334.16x = 76,941,486.86
  5. Step 5: Solve for x
    x = 76,941,486.86/9,334.16
  6. Step 6: Final answer
    x = 8,243.00

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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.