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Finding the Fourth Proportional to 9,037.84, 12,465.94 and 7,690

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Solution

The fourth proportional to 9,037.84, 12,465.94 and 7,690 is: 10,606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,037.84 : 12,465.94 = 7,690 : x
  2. Step 2: Convert to fraction form
    9,037.84/12,465.94 = 7,690/x
  3. Step 3: Cross multiply
    9,037.84x = 12,465.94 × 7,690
  4. Step 4: Simplify right side
    9,037.84x = 95,863,078.60
  5. Step 5: Solve for x
    x = 95,863,078.60/9,037.84
  6. Step 6: Final answer
    x = 10,606.86

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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.