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Finding the Fourth Proportional to 9,713.62, 14,585.02 and 5,558.32

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Solution

The fourth proportional to 9,713.62, 14,585.02 and 5,558.32 is: 8,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.62 : 14,585.02 = 5,558.32 : x
  2. Step 2: Convert to fraction form
    9,713.62/14,585.02 = 5,558.32/x
  3. Step 3: Cross multiply
    9,713.62x = 14,585.02 × 5,558.32
  4. Step 4: Simplify right side
    9,713.62x = 81,068,208.37
  5. Step 5: Solve for x
    x = 81,068,208.37/9,713.62
  6. Step 6: Final answer
    x = 8,345.83

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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.