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Finding the Fourth Proportional to 9,415.24, 14,124.24 and 2,841.95

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Solution

The fourth proportional to 9,415.24, 14,124.24 and 2,841.95 is: 4,263.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.24 : 14,124.24 = 2,841.95 : x
  2. Step 2: Convert to fraction form
    9,415.24/14,124.24 = 2,841.95/x
  3. Step 3: Cross multiply
    9,415.24x = 14,124.24 × 2,841.95
  4. Step 4: Simplify right side
    9,415.24x = 40,140,419.18
  5. Step 5: Solve for x
    x = 40,140,419.18/9,415.24
  6. Step 6: Final answer
    x = 4,263.35

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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.