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Finding the Fourth Proportional to 9,780.12, 13,478.94 and 7,123.32

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Solution

The fourth proportional to 9,780.12, 13,478.94 and 7,123.32 is: 9,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,780.12 : 13,478.94 = 7,123.32 : x
  2. Step 2: Convert to fraction form
    9,780.12/13,478.94 = 7,123.32/x
  3. Step 3: Cross multiply
    9,780.12x = 13,478.94 × 7,123.32
  4. Step 4: Simplify right side
    9,780.12x = 96,014,802.88
  5. Step 5: Solve for x
    x = 96,014,802.88/9,780.12
  6. Step 6: Final answer
    x = 9,817.34

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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.