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Finding the Fourth Proportional to 9,506.58, 14,261.84 and 4,765.19

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Solution

The fourth proportional to 9,506.58, 14,261.84 and 4,765.19 is: 7,148.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,506.58 : 14,261.84 = 4,765.19 : x
  2. Step 2: Convert to fraction form
    9,506.58/14,261.84 = 4,765.19/x
  3. Step 3: Cross multiply
    9,506.58x = 14,261.84 × 4,765.19
  4. Step 4: Simplify right side
    9,506.58x = 67,960,282.21
  5. Step 5: Solve for x
    x = 67,960,282.21/9,506.58
  6. Step 6: Final answer
    x = 7,148.76

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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.