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Finding the Fourth Proportional to 9,965.15, 14,942.18 and 4,622.49

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Solution

The fourth proportional to 9,965.15, 14,942.18 and 4,622.49 is: 6,931.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,965.15 : 14,942.18 = 4,622.49 : x
  2. Step 2: Convert to fraction form
    9,965.15/14,942.18 = 4,622.49/x
  3. Step 3: Cross multiply
    9,965.15x = 14,942.18 × 4,622.49
  4. Step 4: Simplify right side
    9,965.15x = 69,070,089.18
  5. Step 5: Solve for x
    x = 69,070,089.18/9,965.15
  6. Step 6: Final answer
    x = 6,931.16

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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.