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Finding the Fourth Proportional to 9,411.80, 14,133.90 and 6,657.80

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Solution

The fourth proportional to 9,411.80, 14,133.90 and 6,657.80 is: 9,998.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,411.80 : 14,133.90 = 6,657.80 : x
  2. Step 2: Convert to fraction form
    9,411.80/14,133.90 = 6,657.80/x
  3. Step 3: Cross multiply
    9,411.80x = 14,133.90 × 6,657.80
  4. Step 4: Simplify right side
    9,411.80x = 94,100,679.42
  5. Step 5: Solve for x
    x = 94,100,679.42/9,411.80
  6. Step 6: Final answer
    x = 9,998.16

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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.