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Finding the Fourth Proportional to 9,762.52, 14,643.77 and 3,919.13

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Solution

The fourth proportional to 9,762.52, 14,643.77 and 3,919.13 is: 5,878.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.52 : 14,643.77 = 3,919.13 : x
  2. Step 2: Convert to fraction form
    9,762.52/14,643.77 = 3,919.13/x
  3. Step 3: Cross multiply
    9,762.52x = 14,643.77 × 3,919.13
  4. Step 4: Simplify right side
    9,762.52x = 57,390,774.90
  5. Step 5: Solve for x
    x = 57,390,774.90/9,762.52
  6. Step 6: Final answer
    x = 5,878.69

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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.