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Finding the Fourth Proportional to 9,699.94, 14,549.88 and 6,412.30

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Solution

The fourth proportional to 9,699.94, 14,549.88 and 6,412.30 is: 9,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,699.94 : 14,549.88 = 6,412.30 : x
  2. Step 2: Convert to fraction form
    9,699.94/14,549.88 = 6,412.30/x
  3. Step 3: Cross multiply
    9,699.94x = 14,549.88 × 6,412.30
  4. Step 4: Simplify right side
    9,699.94x = 93,298,195.52
  5. Step 5: Solve for x
    x = 93,298,195.52/9,699.94
  6. Step 6: Final answer
    x = 9,618.43

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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.