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Finding the Fourth Proportional to 9,759.24, 13,461.66 and 6,402.24

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Solution

The fourth proportional to 9,759.24, 13,461.66 and 6,402.24 is: 8,831.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,759.24 : 13,461.66 = 6,402.24 : x
  2. Step 2: Convert to fraction form
    9,759.24/13,461.66 = 6,402.24/x
  3. Step 3: Cross multiply
    9,759.24x = 13,461.66 × 6,402.24
  4. Step 4: Simplify right side
    9,759.24x = 86,184,778.12
  5. Step 5: Solve for x
    x = 86,184,778.12/9,759.24
  6. Step 6: Final answer
    x = 8,831.10

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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.