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Finding the Fourth Proportional to 9,597.49, 14,396.23 and 3,750.00

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Solution

The fourth proportional to 9,597.49, 14,396.23 and 3,750.00 is: 5,624.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,597.49 : 14,396.23 = 3,750.00 : x
  2. Step 2: Convert to fraction form
    9,597.49/14,396.23 = 3,750.00/x
  3. Step 3: Cross multiply
    9,597.49x = 14,396.23 × 3,750.00
  4. Step 4: Simplify right side
    9,597.49x = 53,985,771.77
  5. Step 5: Solve for x
    x = 53,985,771.77/9,597.49
  6. Step 6: Final answer
    x = 5,624.99

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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.