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Finding the Fourth Proportional to 9,762.04, 14,719.64 and 8,945.56

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Solution

The fourth proportional to 9,762.04, 14,719.64 and 8,945.56 is: 13,488.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.04 : 14,719.64 = 8,945.56 : x
  2. Step 2: Convert to fraction form
    9,762.04/14,719.64 = 8,945.56/x
  3. Step 3: Cross multiply
    9,762.04x = 14,719.64 × 8,945.56
  4. Step 4: Simplify right side
    9,762.04x = 131,675,422.80
  5. Step 5: Solve for x
    x = 131,675,422.80/9,762.04
  6. Step 6: Final answer
    x = 13,488.51

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.