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Finding the Fourth Proportional to 9,780.14, 13,494.02 and 5,802.14

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Solution

The fourth proportional to 9,780.14, 13,494.02 and 5,802.14 is: 8,005.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.14 : 13,494.02 = 5,802.14 : x
  2. Step 2: Convert to fraction form
    9,780.14/13,494.02 = 5,802.14/x
  3. Step 3: Cross multiply
    9,780.14x = 13,494.02 × 5,802.14
  4. Step 4: Simplify right side
    9,780.14x = 78,294,193.20
  5. Step 5: Solve for x
    x = 78,294,193.20/9,780.14
  6. Step 6: Final answer
    x = 8,005.43

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.