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Finding the Fourth Proportional to 9,973.65, 13,748.00 and 6,824.37

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Solution

The fourth proportional to 9,973.65, 13,748.00 and 6,824.37 is: 9,406.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.65 : 13,748.00 = 6,824.37 : x
  2. Step 2: Convert to fraction form
    9,973.65/13,748.00 = 6,824.37/x
  3. Step 3: Cross multiply
    9,973.65x = 13,748.00 × 6,824.37
  4. Step 4: Simplify right side
    9,973.65x = 93,821,404.64
  5. Step 5: Solve for x
    x = 93,821,404.64/9,973.65
  6. Step 6: Final answer
    x = 9,406.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.