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Finding the Fourth Proportional to 9,646.03, 13,311.77 and 5,396.95

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Solution

The fourth proportional to 9,646.03, 13,311.77 and 5,396.95 is: 7,447.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,646.03 : 13,311.77 = 5,396.95 : x
  2. Step 2: Convert to fraction form
    9,646.03/13,311.77 = 5,396.95/x
  3. Step 3: Cross multiply
    9,646.03x = 13,311.77 × 5,396.95
  4. Step 4: Simplify right side
    9,646.03x = 71,842,957.10
  5. Step 5: Solve for x
    x = 71,842,957.10/9,646.03
  6. Step 6: Final answer
    x = 7,447.93

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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.