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Finding the Fourth Proportional to 7,006.14, 9,667.80 and 4,316.94

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Solution

The fourth proportional to 7,006.14, 9,667.80 and 4,316.94 is: 5,956.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,006.14 : 9,667.80 = 4,316.94 : x
  2. Step 2: Convert to fraction form
    7,006.14/9,667.80 = 4,316.94/x
  3. Step 3: Cross multiply
    7,006.14x = 9,667.80 × 4,316.94
  4. Step 4: Simplify right side
    7,006.14x = 41,735,312.53
  5. Step 5: Solve for x
    x = 41,735,312.53/7,006.14
  6. Step 6: Final answer
    x = 5,956.96

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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.