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Finding the Fourth Proportional to 9,865.20, 14,795.20 and 4,931.20

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Solution

The fourth proportional to 9,865.20, 14,795.20 and 4,931.20 is: 7,395.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,865.20 : 14,795.20 = 4,931.20 : x
  2. Step 2: Convert to fraction form
    9,865.20/14,795.20 = 4,931.20/x
  3. Step 3: Cross multiply
    9,865.20x = 14,795.20 × 4,931.20
  4. Step 4: Simplify right side
    9,865.20x = 72,958,090.24
  5. Step 5: Solve for x
    x = 72,958,090.24/9,865.20
  6. Step 6: Final answer
    x = 7,395.50

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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.