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Finding the Fourth Proportional to 9,648.16, 14,465.41 and 3,720.03

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Solution

The fourth proportional to 9,648.16, 14,465.41 and 3,720.03 is: 5,577.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,648.16 : 14,465.41 = 3,720.03 : x
  2. Step 2: Convert to fraction form
    9,648.16/14,465.41 = 3,720.03/x
  3. Step 3: Cross multiply
    9,648.16x = 14,465.41 × 3,720.03
  4. Step 4: Simplify right side
    9,648.16x = 53,811,706.08
  5. Step 5: Solve for x
    x = 53,811,706.08/9,648.16
  6. Step 6: Final answer
    x = 5,577.40

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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.