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Finding the Fourth Proportional to 9,831.69, 13,554.47 and 9,525.93

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Solution

The fourth proportional to 9,831.69, 13,554.47 and 9,525.93 is: 13,132.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.69 : 13,554.47 = 9,525.93 : x
  2. Step 2: Convert to fraction form
    9,831.69/13,554.47 = 9,525.93/x
  3. Step 3: Cross multiply
    9,831.69x = 13,554.47 × 9,525.93
  4. Step 4: Simplify right side
    9,831.69x = 129,118,884.78
  5. Step 5: Solve for x
    x = 129,118,884.78/9,831.69
  6. Step 6: Final answer
    x = 13,132.93

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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.