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Finding the Fourth Proportional to 9,415.76, 14,124.84 and 2,842.16

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Solution

The fourth proportional to 9,415.76, 14,124.84 and 2,842.16 is: 4,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.76 : 14,124.84 = 2,842.16 : x
  2. Step 2: Convert to fraction form
    9,415.76/14,124.84 = 2,842.16/x
  3. Step 3: Cross multiply
    9,415.76x = 14,124.84 × 2,842.16
  4. Step 4: Simplify right side
    9,415.76x = 40,145,055.25
  5. Step 5: Solve for x
    x = 40,145,055.25/9,415.76
  6. Step 6: Final answer
    x = 4,263.60

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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.