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Finding the Fourth Proportional to 9,228.56, 13,828.66 and 6,263.15

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Solution

The fourth proportional to 9,228.56, 13,828.66 and 6,263.15 is: 9,385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,228.56 : 13,828.66 = 6,263.15 : x
  2. Step 2: Convert to fraction form
    9,228.56/13,828.66 = 6,263.15/x
  3. Step 3: Cross multiply
    9,228.56x = 13,828.66 × 6,263.15
  4. Step 4: Simplify right side
    9,228.56x = 86,610,887.08
  5. Step 5: Solve for x
    x = 86,610,887.08/9,228.56
  6. Step 6: Final answer
    x = 9,385.10

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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.