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Finding the Fourth Proportional to 9,024.84, 13,518.06 and 5,127.24

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Solution

The fourth proportional to 9,024.84, 13,518.06 and 5,127.24 is: 7,679.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.84 : 13,518.06 = 5,127.24 : x
  2. Step 2: Convert to fraction form
    9,024.84/13,518.06 = 5,127.24/x
  3. Step 3: Cross multiply
    9,024.84x = 13,518.06 × 5,127.24
  4. Step 4: Simplify right side
    9,024.84x = 69,310,337.95
  5. Step 5: Solve for x
    x = 69,310,337.95/9,024.84
  6. Step 6: Final answer
    x = 7,679.95

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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.