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Finding the Fourth Proportional to 9,626.52, 13,280.58 and 6,477.24

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Solution

The fourth proportional to 9,626.52, 13,280.58 and 6,477.24 is: 8,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,626.52 : 13,280.58 = 6,477.24 : x
  2. Step 2: Convert to fraction form
    9,626.52/13,280.58 = 6,477.24/x
  3. Step 3: Cross multiply
    9,626.52x = 13,280.58 × 6,477.24
  4. Step 4: Simplify right side
    9,626.52x = 86,021,504.00
  5. Step 5: Solve for x
    x = 86,021,504.00/9,626.52
  6. Step 6: Final answer
    x = 8,935.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.