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Finding the Fourth Proportional to 9,370, 14,055.14 and 2,444.50

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Solution

The fourth proportional to 9,370, 14,055.14 and 2,444.50 is: 3,666.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,370 : 14,055.14 = 2,444.50 : x
  2. Step 2: Convert to fraction form
    9,370/14,055.14 = 2,444.50/x
  3. Step 3: Cross multiply
    9,370x = 14,055.14 × 2,444.50
  4. Step 4: Simplify right side
    9,370x = 34,357,789.73
  5. Step 5: Solve for x
    x = 34,357,789.73/9,370
  6. Step 6: Final answer
    x = 3,666.79

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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.