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Finding the Fourth Proportional to 9,585.94, 13,231.06 and 7,460.98

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Solution

The fourth proportional to 9,585.94, 13,231.06 and 7,460.98 is: 10,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.94 : 13,231.06 = 7,460.98 : x
  2. Step 2: Convert to fraction form
    9,585.94/13,231.06 = 7,460.98/x
  3. Step 3: Cross multiply
    9,585.94x = 13,231.06 × 7,460.98
  4. Step 4: Simplify right side
    9,585.94x = 98,716,674.04
  5. Step 5: Solve for x
    x = 98,716,674.04/9,585.94
  6. Step 6: Final answer
    x = 10,298.07

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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.