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Finding the Fourth Proportional to 9,780.39, 14,663.29 and 5,883.89

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Solution

The fourth proportional to 9,780.39, 14,663.29 and 5,883.89 is: 8,821.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.39 : 14,663.29 = 5,883.89 : x
  2. Step 2: Convert to fraction form
    9,780.39/14,663.29 = 5,883.89/x
  3. Step 3: Cross multiply
    9,780.39x = 14,663.29 × 5,883.89
  4. Step 4: Simplify right side
    9,780.39x = 86,277,185.40
  5. Step 5: Solve for x
    x = 86,277,185.40/9,780.39
  6. Step 6: Final answer
    x = 8,821.45

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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.