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Finding the Fourth Proportional to 9,561.16, 14,345.42 and 4,630.42

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Solution

The fourth proportional to 9,561.16, 14,345.42 and 4,630.42 is: 6,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,561.16 : 14,345.42 = 4,630.42 : x
  2. Step 2: Convert to fraction form
    9,561.16/14,345.42 = 4,630.42/x
  3. Step 3: Cross multiply
    9,561.16x = 14,345.42 × 4,630.42
  4. Step 4: Simplify right side
    9,561.16x = 66,425,319.68
  5. Step 5: Solve for x
    x = 66,425,319.68/9,561.16
  6. Step 6: Final answer
    x = 6,947.41

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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.