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Finding the Fourth Proportional to 9,377.14, 12,907.58 and 8,491.40

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Solution

The fourth proportional to 9,377.14, 12,907.58 and 8,491.40 is: 11,688.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,377.14 : 12,907.58 = 8,491.40 : x
  2. Step 2: Convert to fraction form
    9,377.14/12,907.58 = 8,491.40/x
  3. Step 3: Cross multiply
    9,377.14x = 12,907.58 × 8,491.40
  4. Step 4: Simplify right side
    9,377.14x = 109,603,424.81
  5. Step 5: Solve for x
    x = 109,603,424.81/9,377.14
  6. Step 6: Final answer
    x = 11,688.36

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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.