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Finding the Fourth Proportional to 9,597.96, 14,401.11 and 3,362.45

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Solution

The fourth proportional to 9,597.96, 14,401.11 and 3,362.45 is: 5,045.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.96 : 14,401.11 = 3,362.45 : x
  2. Step 2: Convert to fraction form
    9,597.96/14,401.11 = 3,362.45/x
  3. Step 3: Cross multiply
    9,597.96x = 14,401.11 × 3,362.45
  4. Step 4: Simplify right side
    9,597.96x = 48,423,012.32
  5. Step 5: Solve for x
    x = 48,423,012.32/9,597.96
  6. Step 6: Final answer
    x = 5,045.14

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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.