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Finding the Fourth Proportional to 9,247.79, 12,762.06 and 5,056.04

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Solution

The fourth proportional to 9,247.79, 12,762.06 and 5,056.04 is: 6,977.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,247.79 : 12,762.06 = 5,056.04 : x
  2. Step 2: Convert to fraction form
    9,247.79/12,762.06 = 5,056.04/x
  3. Step 3: Cross multiply
    9,247.79x = 12,762.06 × 5,056.04
  4. Step 4: Simplify right side
    9,247.79x = 64,525,485.84
  5. Step 5: Solve for x
    x = 64,525,485.84/9,247.79
  6. Step 6: Final answer
    x = 6,977.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.