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Finding the Fourth Proportional to 9,476.84, 13,078.14 and 5,228.06

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Solution

The fourth proportional to 9,476.84, 13,078.14 and 5,228.06 is: 7,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.84 : 13,078.14 = 5,228.06 : x
  2. Step 2: Convert to fraction form
    9,476.84/13,078.14 = 5,228.06/x
  3. Step 3: Cross multiply
    9,476.84x = 13,078.14 × 5,228.06
  4. Step 4: Simplify right side
    9,476.84x = 68,373,254.82
  5. Step 5: Solve for x
    x = 68,373,254.82/9,476.84
  6. Step 6: Final answer
    x = 7,214.77

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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.