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Finding the Fourth Proportional to 10,492.02, 14,461.20 and 6,949.08

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Solution

The fourth proportional to 10,492.02, 14,461.20 and 6,949.08 is: 9,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.02 : 14,461.20 = 6,949.08 : x
  2. Step 2: Convert to fraction form
    10,492.02/14,461.20 = 6,949.08/x
  3. Step 3: Cross multiply
    10,492.02x = 14,461.20 × 6,949.08
  4. Step 4: Simplify right side
    10,492.02x = 100,492,035.70
  5. Step 5: Solve for x
    x = 100,492,035.70/10,492.02
  6. Step 6: Final answer
    x = 9,577.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.