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Finding the Fourth Proportional to 9,477.61, 14,204.88 and 6,705.08

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Solution

The fourth proportional to 9,477.61, 14,204.88 and 6,705.08 is: 10,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.61 : 14,204.88 = 6,705.08 : x
  2. Step 2: Convert to fraction form
    9,477.61/14,204.88 = 6,705.08/x
  3. Step 3: Cross multiply
    9,477.61x = 14,204.88 × 6,705.08
  4. Step 4: Simplify right side
    9,477.61x = 95,244,856.79
  5. Step 5: Solve for x
    x = 95,244,856.79/9,477.61
  6. Step 6: Final answer
    x = 10,049.46

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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.