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Finding the Fourth Proportional to 9,973.06, 13,762.74 and 5,435.73

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Solution

The fourth proportional to 9,973.06, 13,762.74 and 5,435.73 is: 7,501.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.06 : 13,762.74 = 5,435.73 : x
  2. Step 2: Convert to fraction form
    9,973.06/13,762.74 = 5,435.73/x
  3. Step 3: Cross multiply
    9,973.06x = 13,762.74 × 5,435.73
  4. Step 4: Simplify right side
    9,973.06x = 74,810,456.30
  5. Step 5: Solve for x
    x = 74,810,456.30/9,973.06
  6. Step 6: Final answer
    x = 7,501.26

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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.