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Finding the Fourth Proportional to 9,141.34, 12,615.06 and 4,949.59

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Solution

The fourth proportional to 9,141.34, 12,615.06 and 4,949.59 is: 6,830.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.34 : 12,615.06 = 4,949.59 : x
  2. Step 2: Convert to fraction form
    9,141.34/12,615.06 = 4,949.59/x
  3. Step 3: Cross multiply
    9,141.34x = 12,615.06 × 4,949.59
  4. Step 4: Simplify right side
    9,141.34x = 62,439,374.83
  5. Step 5: Solve for x
    x = 62,439,374.83/9,141.34
  6. Step 6: Final answer
    x = 6,830.44

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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.