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Finding the Fourth Proportional to 6,145.60, 9,223.80 and 4,914.40

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Solution

The fourth proportional to 6,145.60, 9,223.80 and 4,914.40 is: 7,375.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,145.60 : 9,223.80 = 4,914.40 : x
  2. Step 2: Convert to fraction form
    6,145.60/9,223.80 = 4,914.40/x
  3. Step 3: Cross multiply
    6,145.60x = 9,223.80 × 4,914.40
  4. Step 4: Simplify right side
    6,145.60x = 45,329,442.72
  5. Step 5: Solve for x
    x = 45,329,442.72/6,145.60
  6. Step 6: Final answer
    x = 7,375.92

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Why These Related Problems?

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