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Finding the Fourth Proportional to 9,056, 13,586.64 and 3,862.40

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Solution

The fourth proportional to 9,056, 13,586.64 and 3,862.40 is: 5,794.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,056 : 13,586.64 = 3,862.40 : x
  2. Step 2: Convert to fraction form
    9,056/13,586.64 = 3,862.40/x
  3. Step 3: Cross multiply
    9,056x = 13,586.64 × 3,862.40
  4. Step 4: Simplify right side
    9,056x = 52,477,038.34
  5. Step 5: Solve for x
    x = 52,477,038.34/9,056
  6. Step 6: Final answer
    x = 5,794.73

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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.