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Finding the Fourth Proportional to 9,083.84, 12,535.74 and 5,106.32

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Solution

The fourth proportional to 9,083.84, 12,535.74 and 5,106.32 is: 7,046.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.84 : 12,535.74 = 5,106.32 : x
  2. Step 2: Convert to fraction form
    9,083.84/12,535.74 = 5,106.32/x
  3. Step 3: Cross multiply
    9,083.84x = 12,535.74 × 5,106.32
  4. Step 4: Simplify right side
    9,083.84x = 64,011,499.88
  5. Step 5: Solve for x
    x = 64,011,499.88/9,083.84
  6. Step 6: Final answer
    x = 7,046.74

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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.