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Finding the Fourth Proportional to 9,437.28, 14,172.34 and 8,695.50

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Solution

The fourth proportional to 9,437.28, 14,172.34 and 8,695.50 is: 13,058.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.28 : 14,172.34 = 8,695.50 : x
  2. Step 2: Convert to fraction form
    9,437.28/14,172.34 = 8,695.50/x
  3. Step 3: Cross multiply
    9,437.28x = 14,172.34 × 8,695.50
  4. Step 4: Simplify right side
    9,437.28x = 123,235,582.47
  5. Step 5: Solve for x
    x = 123,235,582.47/9,437.28
  6. Step 6: Final answer
    x = 13,058.38

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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.