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Finding the Fourth Proportional to 9,235.20, 13,857.78 and 4,303.64

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Solution

The fourth proportional to 9,235.20, 13,857.78 and 4,303.64 is: 6,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,235.20 : 13,857.78 = 4,303.64 : x
  2. Step 2: Convert to fraction form
    9,235.20/13,857.78 = 4,303.64/x
  3. Step 3: Cross multiply
    9,235.20x = 13,857.78 × 4,303.64
  4. Step 4: Simplify right side
    9,235.20x = 59,638,896.32
  5. Step 5: Solve for x
    x = 59,638,896.32/9,235.20
  6. Step 6: Final answer
    x = 6,457.78

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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.