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Finding the Fourth Proportional to 9,038.66, 13,549.69 and 3,114.14

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Solution

The fourth proportional to 9,038.66, 13,549.69 and 3,114.14 is: 4,668.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.66 : 13,549.69 = 3,114.14 : x
  2. Step 2: Convert to fraction form
    9,038.66/13,549.69 = 3,114.14/x
  3. Step 3: Cross multiply
    9,038.66x = 13,549.69 × 3,114.14
  4. Step 4: Simplify right side
    9,038.66x = 42,195,638.83
  5. Step 5: Solve for x
    x = 42,195,638.83/9,038.66
  6. Step 6: Final answer
    x = 4,668.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.