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Finding the Fourth Proportional to 9,648.78, 14,473.98 and 3,075.90

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Solution

The fourth proportional to 9,648.78, 14,473.98 and 3,075.90 is: 4,614.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.78 : 14,473.98 = 3,075.90 : x
  2. Step 2: Convert to fraction form
    9,648.78/14,473.98 = 3,075.90/x
  3. Step 3: Cross multiply
    9,648.78x = 14,473.98 × 3,075.90
  4. Step 4: Simplify right side
    9,648.78x = 44,520,515.08
  5. Step 5: Solve for x
    x = 44,520,515.08/9,648.78
  6. Step 6: Final answer
    x = 4,614.11

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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.