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Finding the Fourth Proportional to 9,648.82, 14,472.96 and 3,075.40

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Solution

The fourth proportional to 9,648.82, 14,472.96 and 3,075.40 is: 4,613.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.82 : 14,472.96 = 3,075.40 : x
  2. Step 2: Convert to fraction form
    9,648.82/14,472.96 = 3,075.40/x
  3. Step 3: Cross multiply
    9,648.82x = 14,472.96 × 3,075.40
  4. Step 4: Simplify right side
    9,648.82x = 44,510,141.18
  5. Step 5: Solve for x
    x = 44,510,141.18/9,648.82
  6. Step 6: Final answer
    x = 4,613.01

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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.