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Finding the Fourth Proportional to 9,688.16, 13,365.60 and 5,960

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Solution

The fourth proportional to 9,688.16, 13,365.60 and 5,960 is: 8,222.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.16 : 13,365.60 = 5,960 : x
  2. Step 2: Convert to fraction form
    9,688.16/13,365.60 = 5,960/x
  3. Step 3: Cross multiply
    9,688.16x = 13,365.60 × 5,960
  4. Step 4: Simplify right side
    9,688.16x = 79,658,976
  5. Step 5: Solve for x
    x = 79,658,976/9,688.16
  6. Step 6: Final answer
    x = 8,222.30

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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.