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Finding the Fourth Proportional to 9,831.50, 13,567.47 and 5,415.50

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Solution

The fourth proportional to 9,831.50, 13,567.47 and 5,415.50 is: 7,473.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.50 : 13,567.47 = 5,415.50 : x
  2. Step 2: Convert to fraction form
    9,831.50/13,567.47 = 5,415.50/x
  3. Step 3: Cross multiply
    9,831.50x = 13,567.47 × 5,415.50
  4. Step 4: Simplify right side
    9,831.50x = 73,474,633.79
  5. Step 5: Solve for x
    x = 73,474,633.79/9,831.50
  6. Step 6: Final answer
    x = 7,473.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.