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Finding the Fourth Proportional to 7,117.86, 9,822.72 and 3,973.68

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Solution

The fourth proportional to 7,117.86, 9,822.72 and 3,973.68 is: 5,483.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.86 : 9,822.72 = 3,973.68 : x
  2. Step 2: Convert to fraction form
    7,117.86/9,822.72 = 3,973.68/x
  3. Step 3: Cross multiply
    7,117.86x = 9,822.72 × 3,973.68
  4. Step 4: Simplify right side
    7,117.86x = 39,032,346.01
  5. Step 5: Solve for x
    x = 39,032,346.01/7,117.86
  6. Step 6: Final answer
    x = 5,483.72

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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.