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Finding the Fourth Proportional to 7,032.81, 9,705.64 and 4,049.07

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Solution

The fourth proportional to 7,032.81, 9,705.64 and 4,049.07 is: 5,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.81 : 9,705.64 = 4,049.07 : x
  2. Step 2: Convert to fraction form
    7,032.81/9,705.64 = 4,049.07/x
  3. Step 3: Cross multiply
    7,032.81x = 9,705.64 × 4,049.07
  4. Step 4: Simplify right side
    7,032.81x = 39,298,815.75
  5. Step 5: Solve for x
    x = 39,298,815.75/7,032.81
  6. Step 6: Final answer
    x = 5,587.93

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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.