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Finding the Fourth Proportional to 9,270.72, 13,903.20 and 4,075.20

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Solution

The fourth proportional to 9,270.72, 13,903.20 and 4,075.20 is: 6,111.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.72 : 13,903.20 = 4,075.20 : x
  2. Step 2: Convert to fraction form
    9,270.72/13,903.20 = 4,075.20/x
  3. Step 3: Cross multiply
    9,270.72x = 13,903.20 × 4,075.20
  4. Step 4: Simplify right side
    9,270.72x = 56,658,320.64
  5. Step 5: Solve for x
    x = 56,658,320.64/9,270.72
  6. Step 6: Final answer
    x = 6,111.53

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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.