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Finding the Fourth Proportional to 9,615.64, 14,426.14 and 3,041.64

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Solution

The fourth proportional to 9,615.64, 14,426.14 and 3,041.64 is: 4,563.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,615.64 : 14,426.14 = 3,041.64 : x
  2. Step 2: Convert to fraction form
    9,615.64/14,426.14 = 3,041.64/x
  3. Step 3: Cross multiply
    9,615.64x = 14,426.14 × 3,041.64
  4. Step 4: Simplify right side
    9,615.64x = 43,879,124.47
  5. Step 5: Solve for x
    x = 43,879,124.47/9,615.64
  6. Step 6: Final answer
    x = 4,563.31

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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.