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Finding the Fourth Proportional to 9,663.93, 14,492.82 and 4,982.49

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Solution

The fourth proportional to 9,663.93, 14,492.82 and 4,982.49 is: 7,472.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.93 : 14,492.82 = 4,982.49 : x
  2. Step 2: Convert to fraction form
    9,663.93/14,492.82 = 4,982.49/x
  3. Step 3: Cross multiply
    9,663.93x = 14,492.82 × 4,982.49
  4. Step 4: Simplify right side
    9,663.93x = 72,210,330.72
  5. Step 5: Solve for x
    x = 72,210,330.72/9,663.93
  6. Step 6: Final answer
    x = 7,472.15

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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.