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Finding the Fourth Proportional to 7,032.48, 9,703.12 and 4,237.44

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Solution

The fourth proportional to 7,032.48, 9,703.12 and 4,237.44 is: 5,846.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.48 : 9,703.12 = 4,237.44 : x
  2. Step 2: Convert to fraction form
    7,032.48/9,703.12 = 4,237.44/x
  3. Step 3: Cross multiply
    7,032.48x = 9,703.12 × 4,237.44
  4. Step 4: Simplify right side
    7,032.48x = 41,116,388.81
  5. Step 5: Solve for x
    x = 41,116,388.81/7,032.48
  6. Step 6: Final answer
    x = 5,846.64

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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.