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Finding the Fourth Proportional to 9,415.54, 14,124.09 and 4,733.14

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Solution

The fourth proportional to 9,415.54, 14,124.09 and 4,733.14 is: 7,100.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.54 : 14,124.09 = 4,733.14 : x
  2. Step 2: Convert to fraction form
    9,415.54/14,124.09 = 4,733.14/x
  3. Step 3: Cross multiply
    9,415.54x = 14,124.09 × 4,733.14
  4. Step 4: Simplify right side
    9,415.54x = 66,851,295.34
  5. Step 5: Solve for x
    x = 66,851,295.34/9,415.54
  6. Step 6: Final answer
    x = 7,100.10

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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.