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Finding the Fourth Proportional to 9,364.50, 12,925.19 and 6,178.36

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Solution

The fourth proportional to 9,364.50, 12,925.19 and 6,178.36 is: 8,527.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,364.50 : 12,925.19 = 6,178.36 : x
  2. Step 2: Convert to fraction form
    9,364.50/12,925.19 = 6,178.36/x
  3. Step 3: Cross multiply
    9,364.50x = 12,925.19 × 6,178.36
  4. Step 4: Simplify right side
    9,364.50x = 79,856,476.89
  5. Step 5: Solve for x
    x = 79,856,476.89/9,364.50
  6. Step 6: Final answer
    x = 8,527.58

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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.