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Finding the Fourth Proportional to 9,973.30, 13,762.62 and 5,496.94

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Solution

The fourth proportional to 9,973.30, 13,762.62 and 5,496.94 is: 7,585.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.30 : 13,762.62 = 5,496.94 : x
  2. Step 2: Convert to fraction form
    9,973.30/13,762.62 = 5,496.94/x
  3. Step 3: Cross multiply
    9,973.30x = 13,762.62 × 5,496.94
  4. Step 4: Simplify right side
    9,973.30x = 75,652,296.38
  5. Step 5: Solve for x
    x = 75,652,296.38/9,973.30
  6. Step 6: Final answer
    x = 7,585.48

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Why These Related Problems?

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