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Finding the Fourth Proportional to 9,856.16, 14,779.60 and 3,611.76

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Solution

The fourth proportional to 9,856.16, 14,779.60 and 3,611.76 is: 5,415.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,856.16 : 14,779.60 = 3,611.76 : x
  2. Step 2: Convert to fraction form
    9,856.16/14,779.60 = 3,611.76/x
  3. Step 3: Cross multiply
    9,856.16x = 14,779.60 × 3,611.76
  4. Step 4: Simplify right side
    9,856.16x = 53,380,368.10
  5. Step 5: Solve for x
    x = 53,380,368.10/9,856.16
  6. Step 6: Final answer
    x = 5,415.94

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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.