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Finding the Fourth Proportional to 7,099.04, 9,804.40 and 4,856.96

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Solution

The fourth proportional to 7,099.04, 9,804.40 and 4,856.96 is: 6,707.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.04 : 9,804.40 = 4,856.96 : x
  2. Step 2: Convert to fraction form
    7,099.04/9,804.40 = 4,856.96/x
  3. Step 3: Cross multiply
    7,099.04x = 9,804.40 × 4,856.96
  4. Step 4: Simplify right side
    7,099.04x = 47,619,578.62
  5. Step 5: Solve for x
    x = 47,619,578.62/7,099.04
  6. Step 6: Final answer
    x = 6,707.89

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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.