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Finding the Fourth Proportional to 9,762.66, 14,643.54 and 3,188.01

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Solution

The fourth proportional to 9,762.66, 14,643.54 and 3,188.01 is: 4,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.66 : 14,643.54 = 3,188.01 : x
  2. Step 2: Convert to fraction form
    9,762.66/14,643.54 = 3,188.01/x
  3. Step 3: Cross multiply
    9,762.66x = 14,643.54 × 3,188.01
  4. Step 4: Simplify right side
    9,762.66x = 46,683,751.96
  5. Step 5: Solve for x
    x = 46,683,751.96/9,762.66
  6. Step 6: Final answer
    x = 4,781.87

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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.