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Finding the Fourth Proportional to 6,557.66, 9,831.37 and 4,472.50

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Solution

The fourth proportional to 6,557.66, 9,831.37 and 4,472.50 is: 6,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,557.66 : 9,831.37 = 4,472.50 : x
  2. Step 2: Convert to fraction form
    6,557.66/9,831.37 = 4,472.50/x
  3. Step 3: Cross multiply
    6,557.66x = 9,831.37 × 4,472.50
  4. Step 4: Simplify right side
    6,557.66x = 43,970,802.33
  5. Step 5: Solve for x
    x = 43,970,802.33/6,557.66
  6. Step 6: Final answer
    x = 6,705.26

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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.