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Finding the Fourth Proportional to 7,111.64, 9,814.28 and 3,925.16

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Solution

The fourth proportional to 7,111.64, 9,814.28 and 3,925.16 is: 5,416.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.64 : 9,814.28 = 3,925.16 : x
  2. Step 2: Convert to fraction form
    7,111.64/9,814.28 = 3,925.16/x
  3. Step 3: Cross multiply
    7,111.64x = 9,814.28 × 3,925.16
  4. Step 4: Simplify right side
    7,111.64x = 38,522,619.28
  5. Step 5: Solve for x
    x = 38,522,619.28/7,111.64
  6. Step 6: Final answer
    x = 5,416.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.