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Finding the Fourth Proportional to 9,038.76, 13,549.83 and 3,114.23

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Solution

The fourth proportional to 9,038.76, 13,549.83 and 3,114.23 is: 4,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.76 : 13,549.83 = 3,114.23 : x
  2. Step 2: Convert to fraction form
    9,038.76/13,549.83 = 3,114.23/x
  3. Step 3: Cross multiply
    9,038.76x = 13,549.83 × 3,114.23
  4. Step 4: Simplify right side
    9,038.76x = 42,197,342.42
  5. Step 5: Solve for x
    x = 42,197,342.42/9,038.76
  6. Step 6: Final answer
    x = 4,668.49

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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.