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Finding the Fourth Proportional to 9,261.23, 12,780 and 5,068.67

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Solution

The fourth proportional to 9,261.23, 12,780 and 5,068.67 is: 6,994.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.23 : 12,780 = 5,068.67 : x
  2. Step 2: Convert to fraction form
    9,261.23/12,780 = 5,068.67/x
  3. Step 3: Cross multiply
    9,261.23x = 12,780 × 5,068.67
  4. Step 4: Simplify right side
    9,261.23x = 64,777,602.60
  5. Step 5: Solve for x
    x = 64,777,602.60/9,261.23
  6. Step 6: Final answer
    x = 6,994.49

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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.