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Finding the Fourth Proportional to 7,117.12, 9,821.88 and 3,973.48

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Solution

The fourth proportional to 7,117.12, 9,821.88 and 3,973.48 is: 5,483.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.12 : 9,821.88 = 3,973.48 : x
  2. Step 2: Convert to fraction form
    7,117.12/9,821.88 = 3,973.48/x
  3. Step 3: Cross multiply
    7,117.12x = 9,821.88 × 3,973.48
  4. Step 4: Simplify right side
    7,117.12x = 39,027,043.74
  5. Step 5: Solve for x
    x = 39,027,043.74/7,117.12
  6. Step 6: Final answer
    x = 5,483.54

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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.