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Finding the Fourth Proportional to 9,688.71, 13,372.02 and 5,499.39

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Solution

The fourth proportional to 9,688.71, 13,372.02 and 5,499.39 is: 7,590.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,688.71 : 13,372.02 = 5,499.39 : x
  2. Step 2: Convert to fraction form
    9,688.71/13,372.02 = 5,499.39/x
  3. Step 3: Cross multiply
    9,688.71x = 13,372.02 × 5,499.39
  4. Step 4: Simplify right side
    9,688.71x = 73,537,953.07
  5. Step 5: Solve for x
    x = 73,537,953.07/9,688.71
  6. Step 6: Final answer
    x = 7,590.07

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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.