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Finding the Fourth Proportional to 7,032.87, 9,707.28 and 4,378.71

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Solution

The fourth proportional to 7,032.87, 9,707.28 and 4,378.71 is: 6,043.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.87 : 9,707.28 = 4,378.71 : x
  2. Step 2: Convert to fraction form
    7,032.87/9,707.28 = 4,378.71/x
  3. Step 3: Cross multiply
    7,032.87x = 9,707.28 × 4,378.71
  4. Step 4: Simplify right side
    7,032.87x = 42,505,364.01
  5. Step 5: Solve for x
    x = 42,505,364.01/7,032.87
  6. Step 6: Final answer
    x = 6,043.81

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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.