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Finding the Fourth Proportional to 9,865.53, 13,610.89 and 5,831.51

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Solution

The fourth proportional to 9,865.53, 13,610.89 and 5,831.51 is: 8,045.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.53 : 13,610.89 = 5,831.51 : x
  2. Step 2: Convert to fraction form
    9,865.53/13,610.89 = 5,831.51/x
  3. Step 3: Cross multiply
    9,865.53x = 13,610.89 × 5,831.51
  4. Step 4: Simplify right side
    9,865.53x = 79,372,041.14
  5. Step 5: Solve for x
    x = 79,372,041.14/9,865.53
  6. Step 6: Final answer
    x = 8,045.39

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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.