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Finding the Fourth Proportional to 9,912, 14,870.40 and 2,986.56

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Solution

The fourth proportional to 9,912, 14,870.40 and 2,986.56 is: 4,480.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,912 : 14,870.40 = 2,986.56 : x
  2. Step 2: Convert to fraction form
    9,912/14,870.40 = 2,986.56/x
  3. Step 3: Cross multiply
    9,912x = 14,870.40 × 2,986.56
  4. Step 4: Simplify right side
    9,912x = 44,411,341.82
  5. Step 5: Solve for x
    x = 44,411,341.82/9,912
  6. Step 6: Final answer
    x = 4,480.56

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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.