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Finding the Fourth Proportional to 7,065.86, 9,752.65 and 4,083.42

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Solution

The fourth proportional to 7,065.86, 9,752.65 and 4,083.42 is: 5,636.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,065.86 : 9,752.65 = 4,083.42 : x
  2. Step 2: Convert to fraction form
    7,065.86/9,752.65 = 4,083.42/x
  3. Step 3: Cross multiply
    7,065.86x = 9,752.65 × 4,083.42
  4. Step 4: Simplify right side
    7,065.86x = 39,824,166.06
  5. Step 5: Solve for x
    x = 39,824,166.06/7,065.86
  6. Step 6: Final answer
    x = 5,636.14

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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.