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Finding the Fourth Proportional to 9,114.35, 13,657.14 and 6,637.77

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Solution

The fourth proportional to 9,114.35, 13,657.14 and 6,637.77 is: 9,946.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.35 : 13,657.14 = 6,637.77 : x
  2. Step 2: Convert to fraction form
    9,114.35/13,657.14 = 6,637.77/x
  3. Step 3: Cross multiply
    9,114.35x = 13,657.14 × 6,637.77
  4. Step 4: Simplify right side
    9,114.35x = 90,652,954.18
  5. Step 5: Solve for x
    x = 90,652,954.18/9,114.35
  6. Step 6: Final answer
    x = 9,946.18

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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.