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Finding the Fourth Proportional to 9,688.66, 13,370.60 and 5,440.06

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Solution

The fourth proportional to 9,688.66, 13,370.60 and 5,440.06 is: 7,507.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.66 : 13,370.60 = 5,440.06 : x
  2. Step 2: Convert to fraction form
    9,688.66/13,370.60 = 5,440.06/x
  3. Step 3: Cross multiply
    9,688.66x = 13,370.60 × 5,440.06
  4. Step 4: Simplify right side
    9,688.66x = 72,736,799.38
  5. Step 5: Solve for x
    x = 72,736,799.38/9,688.66
  6. Step 6: Final answer
    x = 7,507.42

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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.