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Finding the Fourth Proportional to 9,341, 14,011.58 and 2,415.08

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Solution

The fourth proportional to 9,341, 14,011.58 and 2,415.08 is: 3,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,341 : 14,011.58 = 2,415.08 : x
  2. Step 2: Convert to fraction form
    9,341/14,011.58 = 2,415.08/x
  3. Step 3: Cross multiply
    9,341x = 14,011.58 × 2,415.08
  4. Step 4: Simplify right side
    9,341x = 33,839,086.63
  5. Step 5: Solve for x
    x = 33,839,086.63/9,341
  6. Step 6: Final answer
    x = 3,622.64

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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.