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Finding the Fourth Proportional to 9,124.64, 13,695.52 and 4,745.20

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Solution

The fourth proportional to 9,124.64, 13,695.52 and 4,745.20 is: 7,122.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,124.64 : 13,695.52 = 4,745.20 : x
  2. Step 2: Convert to fraction form
    9,124.64/13,695.52 = 4,745.20/x
  3. Step 3: Cross multiply
    9,124.64x = 13,695.52 × 4,745.20
  4. Step 4: Simplify right side
    9,124.64x = 64,987,981.50
  5. Step 5: Solve for x
    x = 64,987,981.50/9,124.64
  6. Step 6: Final answer
    x = 7,122.25

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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.