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Finding the Fourth Proportional to 9,699.14, 14,549.02 and 3,125.99

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Solution

The fourth proportional to 9,699.14, 14,549.02 and 3,125.99 is: 4,689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.14 : 14,549.02 = 3,125.99 : x
  2. Step 2: Convert to fraction form
    9,699.14/14,549.02 = 3,125.99/x
  3. Step 3: Cross multiply
    9,699.14x = 14,549.02 × 3,125.99
  4. Step 4: Simplify right side
    9,699.14x = 45,480,119.59
  5. Step 5: Solve for x
    x = 45,480,119.59/9,699.14
  6. Step 6: Final answer
    x = 4,689.09

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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.