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Finding the Fourth Proportional to 9,473.99, 13,075.22 and 5,442.26

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Solution

The fourth proportional to 9,473.99, 13,075.22 and 5,442.26 is: 7,510.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,473.99 : 13,075.22 = 5,442.26 : x
  2. Step 2: Convert to fraction form
    9,473.99/13,075.22 = 5,442.26/x
  3. Step 3: Cross multiply
    9,473.99x = 13,075.22 × 5,442.26
  4. Step 4: Simplify right side
    9,473.99x = 71,158,695.03
  5. Step 5: Solve for x
    x = 71,158,695.03/9,473.99
  6. Step 6: Final answer
    x = 7,510.96

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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.