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Finding the Fourth Proportional to 9,411.64, 12,986.70 and 6,054.76

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Solution

The fourth proportional to 9,411.64, 12,986.70 and 6,054.76 is: 8,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.64 : 12,986.70 = 6,054.76 : x
  2. Step 2: Convert to fraction form
    9,411.64/12,986.70 = 6,054.76/x
  3. Step 3: Cross multiply
    9,411.64x = 12,986.70 × 6,054.76
  4. Step 4: Simplify right side
    9,411.64x = 78,631,351.69
  5. Step 5: Solve for x
    x = 78,631,351.69/9,411.64
  6. Step 6: Final answer
    x = 8,354.69

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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.