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Finding the Fourth Proportional to 9,130.63, 13,701.30 and 3,865.31

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Solution

The fourth proportional to 9,130.63, 13,701.30 and 3,865.31 is: 5,800.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,130.63 : 13,701.30 = 3,865.31 : x
  2. Step 2: Convert to fraction form
    9,130.63/13,701.30 = 3,865.31/x
  3. Step 3: Cross multiply
    9,130.63x = 13,701.30 × 3,865.31
  4. Step 4: Simplify right side
    9,130.63x = 52,959,806.16
  5. Step 5: Solve for x
    x = 52,959,806.16/9,130.63
  6. Step 6: Final answer
    x = 5,800.24

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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.