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Finding the Fourth Proportional to 9,197.84, 12,707.88 and 6,415.76

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Solution

The fourth proportional to 9,197.84, 12,707.88 and 6,415.76 is: 8,864.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.84 : 12,707.88 = 6,415.76 : x
  2. Step 2: Convert to fraction form
    9,197.84/12,707.88 = 6,415.76/x
  3. Step 3: Cross multiply
    9,197.84x = 12,707.88 × 6,415.76
  4. Step 4: Simplify right side
    9,197.84x = 81,530,708.19
  5. Step 5: Solve for x
    x = 81,530,708.19/9,197.84
  6. Step 6: Final answer
    x = 8,864.11

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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.