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Finding the Fourth Proportional to 9,211.81, 12,710.71 and 5,178.08

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Solution

The fourth proportional to 9,211.81, 12,710.71 and 5,178.08 is: 7,144.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.81 : 12,710.71 = 5,178.08 : x
  2. Step 2: Convert to fraction form
    9,211.81/12,710.71 = 5,178.08/x
  3. Step 3: Cross multiply
    9,211.81x = 12,710.71 × 5,178.08
  4. Step 4: Simplify right side
    9,211.81x = 65,817,043.63
  5. Step 5: Solve for x
    x = 65,817,043.63/9,211.81
  6. Step 6: Final answer
    x = 7,144.86

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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.