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Finding the Fourth Proportional to 9,415.24, 12,994.14 and 5,223.76

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Solution

The fourth proportional to 9,415.24, 12,994.14 and 5,223.76 is: 7,209.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.24 : 12,994.14 = 5,223.76 : x
  2. Step 2: Convert to fraction form
    9,415.24/12,994.14 = 5,223.76/x
  3. Step 3: Cross multiply
    9,415.24x = 12,994.14 × 5,223.76
  4. Step 4: Simplify right side
    9,415.24x = 67,878,268.77
  5. Step 5: Solve for x
    x = 67,878,268.77/9,415.24
  6. Step 6: Final answer
    x = 7,209.40

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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.