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Finding the Fourth Proportional to 9,602.04, 14,401.98 and 2,677.08

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Solution

The fourth proportional to 9,602.04, 14,401.98 and 2,677.08 is: 4,015.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,602.04 : 14,401.98 = 2,677.08 : x
  2. Step 2: Convert to fraction form
    9,602.04/14,401.98 = 2,677.08/x
  3. Step 3: Cross multiply
    9,602.04x = 14,401.98 × 2,677.08
  4. Step 4: Simplify right side
    9,602.04x = 38,555,252.62
  5. Step 5: Solve for x
    x = 38,555,252.62/9,602.04
  6. Step 6: Final answer
    x = 4,015.32

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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.