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Finding the Fourth Proportional to 9,690.95, 14,537.64 and 4,756.43

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Solution

The fourth proportional to 9,690.95, 14,537.64 and 4,756.43 is: 7,135.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,690.95 : 14,537.64 = 4,756.43 : x
  2. Step 2: Convert to fraction form
    9,690.95/14,537.64 = 4,756.43/x
  3. Step 3: Cross multiply
    9,690.95x = 14,537.64 × 4,756.43
  4. Step 4: Simplify right side
    9,690.95x = 69,147,267.03
  5. Step 5: Solve for x
    x = 69,147,267.03/9,690.95
  6. Step 6: Final answer
    x = 7,135.24

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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.