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Finding the Fourth Proportional to 9,831.85, 13,557.99 and 6,998.47

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Solution

The fourth proportional to 9,831.85, 13,557.99 and 6,998.47 is: 9,650.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.85 : 13,557.99 = 6,998.47 : x
  2. Step 2: Convert to fraction form
    9,831.85/13,557.99 = 6,998.47/x
  3. Step 3: Cross multiply
    9,831.85x = 13,557.99 × 6,998.47
  4. Step 4: Simplify right side
    9,831.85x = 94,885,186.28
  5. Step 5: Solve for x
    x = 94,885,186.28/9,831.85
  6. Step 6: Final answer
    x = 9,650.80

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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.