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Finding the Fourth Proportional to 9,776.84, 14,667.41 and 4,579.88

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Solution

The fourth proportional to 9,776.84, 14,667.41 and 4,579.88 is: 6,870.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,776.84 : 14,667.41 = 4,579.88 : x
  2. Step 2: Convert to fraction form
    9,776.84/14,667.41 = 4,579.88/x
  3. Step 3: Cross multiply
    9,776.84x = 14,667.41 × 4,579.88
  4. Step 4: Simplify right side
    9,776.84x = 67,174,915.82
  5. Step 5: Solve for x
    x = 67,174,915.82/9,776.84
  6. Step 6: Final answer
    x = 6,870.82

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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.