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Finding the Fourth Proportional to 9,577.34, 14,362.10 and 3,336.02

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Solution

The fourth proportional to 9,577.34, 14,362.10 and 3,336.02 is: 5,002.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,577.34 : 14,362.10 = 3,336.02 : x
  2. Step 2: Convert to fraction form
    9,577.34/14,362.10 = 3,336.02/x
  3. Step 3: Cross multiply
    9,577.34x = 14,362.10 × 3,336.02
  4. Step 4: Simplify right side
    9,577.34x = 47,912,164.35
  5. Step 5: Solve for x
    x = 47,912,164.35/9,577.34
  6. Step 6: Final answer
    x = 5,002.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.