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Finding the Fourth Proportional to 9,437.73, 14,166.43 and 9,225.95

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Solution

The fourth proportional to 9,437.73, 14,166.43 and 9,225.95 is: 13,848.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,437.73 : 14,166.43 = 9,225.95 : x
  2. Step 2: Convert to fraction form
    9,437.73/14,166.43 = 9,225.95/x
  3. Step 3: Cross multiply
    9,437.73x = 14,166.43 × 9,225.95
  4. Step 4: Simplify right side
    9,437.73x = 130,698,704.03
  5. Step 5: Solve for x
    x = 130,698,704.03/9,437.73
  6. Step 6: Final answer
    x = 13,848.53

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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.