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Finding the Fourth Proportional to 9,473.96, 13,075.30 and 6,830.12

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Solution

The fourth proportional to 9,473.96, 13,075.30 and 6,830.12 is: 9,426.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.96 : 13,075.30 = 6,830.12 : x
  2. Step 2: Convert to fraction form
    9,473.96/13,075.30 = 6,830.12/x
  3. Step 3: Cross multiply
    9,473.96x = 13,075.30 × 6,830.12
  4. Step 4: Simplify right side
    9,473.96x = 89,305,868.04
  5. Step 5: Solve for x
    x = 89,305,868.04/9,473.96
  6. Step 6: Final answer
    x = 9,426.46

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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.