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Finding the Fourth Proportional to 9,334.64, 13,978.98 and 6,037.64

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Solution

The fourth proportional to 9,334.64, 13,978.98 and 6,037.64 is: 9,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,334.64 : 13,978.98 = 6,037.64 : x
  2. Step 2: Convert to fraction form
    9,334.64/13,978.98 = 6,037.64/x
  3. Step 3: Cross multiply
    9,334.64x = 13,978.98 × 6,037.64
  4. Step 4: Simplify right side
    9,334.64x = 84,400,048.81
  5. Step 5: Solve for x
    x = 84,400,048.81/9,334.64
  6. Step 6: Final answer
    x = 9,041.60

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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.