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Finding the Fourth Proportional to 9,461.58, 14,176.17 and 5,065.98

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Solution

The fourth proportional to 9,461.58, 14,176.17 and 5,065.98 is: 7,590.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.58 : 14,176.17 = 5,065.98 : x
  2. Step 2: Convert to fraction form
    9,461.58/14,176.17 = 5,065.98/x
  3. Step 3: Cross multiply
    9,461.58x = 14,176.17 × 5,065.98
  4. Step 4: Simplify right side
    9,461.58x = 71,816,193.70
  5. Step 5: Solve for x
    x = 71,816,193.70/9,461.58
  6. Step 6: Final answer
    x = 7,590.30

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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.