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Finding the Fourth Proportional to 9,871.65, 14,762.52 and 7,374.60

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Solution

The fourth proportional to 9,871.65, 14,762.52 and 7,374.60 is: 11,028.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.65 : 14,762.52 = 7,374.60 : x
  2. Step 2: Convert to fraction form
    9,871.65/14,762.52 = 7,374.60/x
  3. Step 3: Cross multiply
    9,871.65x = 14,762.52 × 7,374.60
  4. Step 4: Simplify right side
    9,871.65x = 108,867,679.99
  5. Step 5: Solve for x
    x = 108,867,679.99/9,871.65
  6. Step 6: Final answer
    x = 11,028.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.