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Finding the Fourth Proportional to 7,177.40, 9,904.19 and 4,152.01

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Solution

The fourth proportional to 7,177.40, 9,904.19 and 4,152.01 is: 5,729.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,177.40 : 9,904.19 = 4,152.01 : x
  2. Step 2: Convert to fraction form
    7,177.40/9,904.19 = 4,152.01/x
  3. Step 3: Cross multiply
    7,177.40x = 9,904.19 × 4,152.01
  4. Step 4: Simplify right side
    7,177.40x = 41,122,274.81
  5. Step 5: Solve for x
    x = 41,122,274.81/7,177.40
  6. Step 6: Final answer
    x = 5,729.41

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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.