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Finding the Fourth Proportional to 9,466.74, 14,206.59 and 5,085.54

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Solution

The fourth proportional to 9,466.74, 14,206.59 and 5,085.54 is: 7,631.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,466.74 : 14,206.59 = 5,085.54 : x
  2. Step 2: Convert to fraction form
    9,466.74/14,206.59 = 5,085.54/x
  3. Step 3: Cross multiply
    9,466.74x = 14,206.59 × 5,085.54
  4. Step 4: Simplify right side
    9,466.74x = 72,248,181.71
  5. Step 5: Solve for x
    x = 72,248,181.71/9,466.74
  6. Step 6: Final answer
    x = 7,631.79

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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.