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Finding the Fourth Proportional to 9,605.47, 14,409.95 and 4,675.12

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Solution

The fourth proportional to 9,605.47, 14,409.95 and 4,675.12 is: 7,013.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.47 : 14,409.95 = 4,675.12 : x
  2. Step 2: Convert to fraction form
    9,605.47/14,409.95 = 4,675.12/x
  3. Step 3: Cross multiply
    9,605.47x = 14,409.95 × 4,675.12
  4. Step 4: Simplify right side
    9,605.47x = 67,368,245.44
  5. Step 5: Solve for x
    x = 67,368,245.44/9,605.47
  6. Step 6: Final answer
    x = 7,013.53

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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.