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Finding the Fourth Proportional to 9,281.46, 12,808.15 and 5,302.49

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Solution

The fourth proportional to 9,281.46, 12,808.15 and 5,302.49 is: 7,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,281.46 : 12,808.15 = 5,302.49 : x
  2. Step 2: Convert to fraction form
    9,281.46/12,808.15 = 5,302.49/x
  3. Step 3: Cross multiply
    9,281.46x = 12,808.15 × 5,302.49
  4. Step 4: Simplify right side
    9,281.46x = 67,915,087.29
  5. Step 5: Solve for x
    x = 67,915,087.29/9,281.46
  6. Step 6: Final answer
    x = 7,317.28

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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.