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Finding the Fourth Proportional to 9,318.84, 12,860.10 and 5,127

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Solution

The fourth proportional to 9,318.84, 12,860.10 and 5,127 is: 7,075.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,318.84 : 12,860.10 = 5,127 : x
  2. Step 2: Convert to fraction form
    9,318.84/12,860.10 = 5,127/x
  3. Step 3: Cross multiply
    9,318.84x = 12,860.10 × 5,127
  4. Step 4: Simplify right side
    9,318.84x = 65,933,732.70
  5. Step 5: Solve for x
    x = 65,933,732.70/9,318.84
  6. Step 6: Final answer
    x = 7,075.32

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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.