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Finding the Fourth Proportional to 9,975.42, 14,931.54 and 5,579.55

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Solution

The fourth proportional to 9,975.42, 14,931.54 and 5,579.55 is: 8,351.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.42 : 14,931.54 = 5,579.55 : x
  2. Step 2: Convert to fraction form
    9,975.42/14,931.54 = 5,579.55/x
  3. Step 3: Cross multiply
    9,975.42x = 14,931.54 × 5,579.55
  4. Step 4: Simplify right side
    9,975.42x = 83,311,274.01
  5. Step 5: Solve for x
    x = 83,311,274.01/9,975.42
  6. Step 6: Final answer
    x = 8,351.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.