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Finding the Fourth Proportional to 9,734.04, 14,603.22 and 2,808

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Solution

The fourth proportional to 9,734.04, 14,603.22 and 2,808 is: 4,212.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,734.04 : 14,603.22 = 2,808 : x
  2. Step 2: Convert to fraction form
    9,734.04/14,603.22 = 2,808/x
  3. Step 3: Cross multiply
    9,734.04x = 14,603.22 × 2,808
  4. Step 4: Simplify right side
    9,734.04x = 41,005,841.76
  5. Step 5: Solve for x
    x = 41,005,841.76/9,734.04
  6. Step 6: Final answer
    x = 4,212.62

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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.