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Finding the Fourth Proportional to 9,461.32, 14,200.72 and 4,784.62

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Solution

The fourth proportional to 9,461.32, 14,200.72 and 4,784.62 is: 7,181.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.32 : 14,200.72 = 4,784.62 : x
  2. Step 2: Convert to fraction form
    9,461.32/14,200.72 = 4,784.62/x
  3. Step 3: Cross multiply
    9,461.32x = 14,200.72 × 4,784.62
  4. Step 4: Simplify right side
    9,461.32x = 67,945,048.93
  5. Step 5: Solve for x
    x = 67,945,048.93/9,461.32
  6. Step 6: Final answer
    x = 7,181.35

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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.