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Finding the Fourth Proportional to 9,973.41, 13,762.68 and 5,496.92

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Solution

The fourth proportional to 9,973.41, 13,762.68 and 5,496.92 is: 7,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.41 : 13,762.68 = 5,496.92 : x
  2. Step 2: Convert to fraction form
    9,973.41/13,762.68 = 5,496.92/x
  3. Step 3: Cross multiply
    9,973.41x = 13,762.68 × 5,496.92
  4. Step 4: Simplify right side
    9,973.41x = 75,652,282.13
  5. Step 5: Solve for x
    x = 75,652,282.13/9,973.41
  6. Step 6: Final answer
    x = 7,585.40

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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.