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Finding the Fourth Proportional to 9,533.19, 14,304.77 and 6,922.26

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Solution

The fourth proportional to 9,533.19, 14,304.77 and 6,922.26 is: 10,387.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,533.19 : 14,304.77 = 6,922.26 : x
  2. Step 2: Convert to fraction form
    9,533.19/14,304.77 = 6,922.26/x
  3. Step 3: Cross multiply
    9,533.19x = 14,304.77 × 6,922.26
  4. Step 4: Simplify right side
    9,533.19x = 99,021,319.87
  5. Step 5: Solve for x
    x = 99,021,319.87/9,533.19
  6. Step 6: Final answer
    x = 10,387.01

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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.