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Finding the Fourth Proportional to 9,954.64, 13,737.40 and 5,762.80

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Solution

The fourth proportional to 9,954.64, 13,737.40 and 5,762.80 is: 7,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,954.64 : 13,737.40 = 5,762.80 : x
  2. Step 2: Convert to fraction form
    9,954.64/13,737.40 = 5,762.80/x
  3. Step 3: Cross multiply
    9,954.64x = 13,737.40 × 5,762.80
  4. Step 4: Simplify right side
    9,954.64x = 79,165,888.72
  5. Step 5: Solve for x
    x = 79,165,888.72/9,954.64
  6. Step 6: Final answer
    x = 7,952.66

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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.