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Finding the Fourth Proportional to 9,302.68, 13,926.30 and 8,970.54

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Solution

The fourth proportional to 9,302.68, 13,926.30 and 8,970.54 is: 13,429.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,302.68 : 13,926.30 = 8,970.54 : x
  2. Step 2: Convert to fraction form
    9,302.68/13,926.30 = 8,970.54/x
  3. Step 3: Cross multiply
    9,302.68x = 13,926.30 × 8,970.54
  4. Step 4: Simplify right side
    9,302.68x = 124,926,431.20
  5. Step 5: Solve for x
    x = 124,926,431.20/9,302.68
  6. Step 6: Final answer
    x = 13,429.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.