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Finding the Fourth Proportional to 9,020.06, 12,447.90 and 5,663

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Solution

The fourth proportional to 9,020.06, 12,447.90 and 5,663 is: 7,815.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,020.06 : 12,447.90 = 5,663 : x
  2. Step 2: Convert to fraction form
    9,020.06/12,447.90 = 5,663/x
  3. Step 3: Cross multiply
    9,020.06x = 12,447.90 × 5,663
  4. Step 4: Simplify right side
    9,020.06x = 70,492,457.70
  5. Step 5: Solve for x
    x = 70,492,457.70/9,020.06
  6. Step 6: Final answer
    x = 7,815.08

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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.