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Finding the Fourth Proportional to 9,311.14, 13,966.71 and 4,383.10

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Solution

The fourth proportional to 9,311.14, 13,966.71 and 4,383.10 is: 6,574.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.14 : 13,966.71 = 4,383.10 : x
  2. Step 2: Convert to fraction form
    9,311.14/13,966.71 = 4,383.10/x
  3. Step 3: Cross multiply
    9,311.14x = 13,966.71 × 4,383.10
  4. Step 4: Simplify right side
    9,311.14x = 61,217,486.60
  5. Step 5: Solve for x
    x = 61,217,486.60/9,311.14
  6. Step 6: Final answer
    x = 6,574.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.