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Finding the Fourth Proportional to 9,972.87, 13,762.38 and 5,496.51

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Solution

The fourth proportional to 9,972.87, 13,762.38 and 5,496.51 is: 7,585.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.87 : 13,762.38 = 5,496.51 : x
  2. Step 2: Convert to fraction form
    9,972.87/13,762.38 = 5,496.51/x
  3. Step 3: Cross multiply
    9,972.87x = 13,762.38 × 5,496.51
  4. Step 4: Simplify right side
    9,972.87x = 75,645,038.64
  5. Step 5: Solve for x
    x = 75,645,038.64/9,972.87
  6. Step 6: Final answer
    x = 7,585.08

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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.