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Finding the Fourth Proportional to 9,428.58, 13,020.12 and 6,077.15

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Solution

The fourth proportional to 9,428.58, 13,020.12 and 6,077.15 is: 8,392.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,428.58 : 13,020.12 = 6,077.15 : x
  2. Step 2: Convert to fraction form
    9,428.58/13,020.12 = 6,077.15/x
  3. Step 3: Cross multiply
    9,428.58x = 13,020.12 × 6,077.15
  4. Step 4: Simplify right side
    9,428.58x = 79,125,222.26
  5. Step 5: Solve for x
    x = 79,125,222.26/9,428.58
  6. Step 6: Final answer
    x = 8,392.06

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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.