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Finding the Fourth Proportional to 9,395.76, 14,102.28 and 4,468.80

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Solution

The fourth proportional to 9,395.76, 14,102.28 and 4,468.80 is: 6,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,395.76 : 14,102.28 = 4,468.80 : x
  2. Step 2: Convert to fraction form
    9,395.76/14,102.28 = 4,468.80/x
  3. Step 3: Cross multiply
    9,395.76x = 14,102.28 × 4,468.80
  4. Step 4: Simplify right side
    9,395.76x = 63,020,268.86
  5. Step 5: Solve for x
    x = 63,020,268.86/9,395.76
  6. Step 6: Final answer
    x = 6,707.31

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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.