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Finding the Fourth Proportional to 9,468.47, 14,191.93 and 5,762.54

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Solution

The fourth proportional to 9,468.47, 14,191.93 and 5,762.54 is: 8,637.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,468.47 : 14,191.93 = 5,762.54 : x
  2. Step 2: Convert to fraction form
    9,468.47/14,191.93 = 5,762.54/x
  3. Step 3: Cross multiply
    9,468.47x = 14,191.93 × 5,762.54
  4. Step 4: Simplify right side
    9,468.47x = 81,781,564.30
  5. Step 5: Solve for x
    x = 81,781,564.30/9,468.47
  6. Step 6: Final answer
    x = 8,637.25

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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.