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Finding the Fourth Proportional to 9,492.06, 13,099.06 and 5,300.31

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Solution

The fourth proportional to 9,492.06, 13,099.06 and 5,300.31 is: 7,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.06 : 13,099.06 = 5,300.31 : x
  2. Step 2: Convert to fraction form
    9,492.06/13,099.06 = 5,300.31/x
  3. Step 3: Cross multiply
    9,492.06x = 13,099.06 × 5,300.31
  4. Step 4: Simplify right side
    9,492.06x = 69,429,078.71
  5. Step 5: Solve for x
    x = 69,429,078.71/9,492.06
  6. Step 6: Final answer
    x = 7,314.44

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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.