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Finding the Fourth Proportional to 9,522.70, 14,284.71 and 2,948.02

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Solution

The fourth proportional to 9,522.70, 14,284.71 and 2,948.02 is: 4,422.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,522.70 : 14,284.71 = 2,948.02 : x
  2. Step 2: Convert to fraction form
    9,522.70/14,284.71 = 2,948.02/x
  3. Step 3: Cross multiply
    9,522.70x = 14,284.71 × 2,948.02
  4. Step 4: Simplify right side
    9,522.70x = 42,111,610.77
  5. Step 5: Solve for x
    x = 42,111,610.77/9,522.70
  6. Step 6: Final answer
    x = 4,422.23

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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.