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Finding the Fourth Proportional to 9,650.57, 14,477.57 and 3,075.18

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Solution

The fourth proportional to 9,650.57, 14,477.57 and 3,075.18 is: 4,613.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.57 : 14,477.57 = 3,075.18 : x
  2. Step 2: Convert to fraction form
    9,650.57/14,477.57 = 3,075.18/x
  3. Step 3: Cross multiply
    9,650.57x = 14,477.57 × 3,075.18
  4. Step 4: Simplify right side
    9,650.57x = 44,521,118.34
  5. Step 5: Solve for x
    x = 44,521,118.34/9,650.57
  6. Step 6: Final answer
    x = 4,613.32

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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.