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Finding the Fourth Proportional to 9,415.74, 14,125.65 and 2,842.59

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Solution

The fourth proportional to 9,415.74, 14,125.65 and 2,842.59 is: 4,264.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.74 : 14,125.65 = 2,842.59 : x
  2. Step 2: Convert to fraction form
    9,415.74/14,125.65 = 2,842.59/x
  3. Step 3: Cross multiply
    9,415.74x = 14,125.65 × 2,842.59
  4. Step 4: Simplify right side
    9,415.74x = 40,153,431.43
  5. Step 5: Solve for x
    x = 40,153,431.43/9,415.74
  6. Step 6: Final answer
    x = 4,264.50

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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.