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Finding the Fourth Proportional to 9,078.96, 12,531.54 and 5,302.98

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Solution

The fourth proportional to 9,078.96, 12,531.54 and 5,302.98 is: 7,319.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,078.96 : 12,531.54 = 5,302.98 : x
  2. Step 2: Convert to fraction form
    9,078.96/12,531.54 = 5,302.98/x
  3. Step 3: Cross multiply
    9,078.96x = 12,531.54 × 5,302.98
  4. Step 4: Simplify right side
    9,078.96x = 66,454,505.99
  5. Step 5: Solve for x
    x = 66,454,505.99/9,078.96
  6. Step 6: Final answer
    x = 7,319.62

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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.