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Finding the Fourth Proportional to 9,362.52, 14,043.74 and 2,437

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Solution

The fourth proportional to 9,362.52, 14,043.74 and 2,437 is: 3,655.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,362.52 : 14,043.74 = 2,437 : x
  2. Step 2: Convert to fraction form
    9,362.52/14,043.74 = 2,437/x
  3. Step 3: Cross multiply
    9,362.52x = 14,043.74 × 2,437
  4. Step 4: Simplify right side
    9,362.52x = 34,224,594.38
  5. Step 5: Solve for x
    x = 34,224,594.38/9,362.52
  6. Step 6: Final answer
    x = 3,655.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.