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Finding the Fourth Proportional to 9,774.96, 14,667.96 and 4,580.88

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Solution

The fourth proportional to 9,774.96, 14,667.96 and 4,580.88 is: 6,873.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,774.96 : 14,667.96 = 4,580.88 : x
  2. Step 2: Convert to fraction form
    9,774.96/14,667.96 = 4,580.88/x
  3. Step 3: Cross multiply
    9,774.96x = 14,667.96 × 4,580.88
  4. Step 4: Simplify right side
    9,774.96x = 67,192,164.60
  5. Step 5: Solve for x
    x = 67,192,164.60/9,774.96
  6. Step 6: Final answer
    x = 6,873.91

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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.