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Finding the Fourth Proportional to 9,743.40, 14,632.70 and 8,533.80

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Solution

The fourth proportional to 9,743.40, 14,632.70 and 8,533.80 is: 12,816.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.40 : 14,632.70 = 8,533.80 : x
  2. Step 2: Convert to fraction form
    9,743.40/14,632.70 = 8,533.80/x
  3. Step 3: Cross multiply
    9,743.40x = 14,632.70 × 8,533.80
  4. Step 4: Simplify right side
    9,743.40x = 124,872,535.26
  5. Step 5: Solve for x
    x = 124,872,535.26/9,743.40
  6. Step 6: Final answer
    x = 12,816.12

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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.