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Finding the Fourth Proportional to 7,117.65, 9,822.35 and 3,973.84

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Solution

The fourth proportional to 7,117.65, 9,822.35 and 3,973.84 is: 5,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.65 : 9,822.35 = 3,973.84 : x
  2. Step 2: Convert to fraction form
    7,117.65/9,822.35 = 3,973.84/x
  3. Step 3: Cross multiply
    7,117.65x = 9,822.35 × 3,973.84
  4. Step 4: Simplify right side
    7,117.65x = 39,032,432.70
  5. Step 5: Solve for x
    x = 39,032,432.70/7,117.65
  6. Step 6: Final answer
    x = 5,483.89

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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.