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Finding the Fourth Proportional to 8,973.76, 13,462.32 and 3,130.24

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Solution

The fourth proportional to 8,973.76, 13,462.32 and 3,130.24 is: 4,695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,973.76 : 13,462.32 = 3,130.24 : x
  2. Step 2: Convert to fraction form
    8,973.76/13,462.32 = 3,130.24/x
  3. Step 3: Cross multiply
    8,973.76x = 13,462.32 × 3,130.24
  4. Step 4: Simplify right side
    8,973.76x = 42,140,292.56
  5. Step 5: Solve for x
    x = 42,140,292.56/8,973.76
  6. Step 6: Final answer
    x = 4,695.95

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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.