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Finding the Fourth Proportional to 9,648.99, 14,473.31 and 3,075.08

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Solution

The fourth proportional to 9,648.99, 14,473.31 and 3,075.08 is: 4,612.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.99 : 14,473.31 = 3,075.08 : x
  2. Step 2: Convert to fraction form
    9,648.99/14,473.31 = 3,075.08/x
  3. Step 3: Cross multiply
    9,648.99x = 14,473.31 × 3,075.08
  4. Step 4: Simplify right side
    9,648.99x = 44,506,586.11
  5. Step 5: Solve for x
    x = 44,506,586.11/9,648.99
  6. Step 6: Final answer
    x = 4,612.56

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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.