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Finding the Fourth Proportional to 9,637.86, 13,300.50 and 5,446.14

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Solution

The fourth proportional to 9,637.86, 13,300.50 and 5,446.14 is: 7,515.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,637.86 : 13,300.50 = 5,446.14 : x
  2. Step 2: Convert to fraction form
    9,637.86/13,300.50 = 5,446.14/x
  3. Step 3: Cross multiply
    9,637.86x = 13,300.50 × 5,446.14
  4. Step 4: Simplify right side
    9,637.86x = 72,436,385.07
  5. Step 5: Solve for x
    x = 72,436,385.07/9,637.86
  6. Step 6: Final answer
    x = 7,515.82

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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.