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Finding the Fourth Proportional to 6,552.96, 9,831.36 and 2,656.32

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Solution

The fourth proportional to 6,552.96, 9,831.36 and 2,656.32 is: 3,985.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.96 : 9,831.36 = 2,656.32 : x
  2. Step 2: Convert to fraction form
    6,552.96/9,831.36 = 2,656.32/x
  3. Step 3: Cross multiply
    6,552.96x = 9,831.36 × 2,656.32
  4. Step 4: Simplify right side
    6,552.96x = 26,115,238.20
  5. Step 5: Solve for x
    x = 26,115,238.20/6,552.96
  6. Step 6: Final answer
    x = 3,985.26

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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.