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Finding the Fourth Proportional to 9,713.94, 14,554.17 and 7,647.18

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Solution

The fourth proportional to 9,713.94, 14,554.17 and 7,647.18 is: 11,457.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.94 : 14,554.17 = 7,647.18 : x
  2. Step 2: Convert to fraction form
    9,713.94/14,554.17 = 7,647.18/x
  3. Step 3: Cross multiply
    9,713.94x = 14,554.17 × 7,647.18
  4. Step 4: Simplify right side
    9,713.94x = 111,298,357.74
  5. Step 5: Solve for x
    x = 111,298,357.74/9,713.94
  6. Step 6: Final answer
    x = 11,457.59

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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.