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Finding the Fourth Proportional to 7,102.60, 9,801.40 and 4,077.64

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Solution

The fourth proportional to 7,102.60, 9,801.40 and 4,077.64 is: 5,627.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,102.60 : 9,801.40 = 4,077.64 : x
  2. Step 2: Convert to fraction form
    7,102.60/9,801.40 = 4,077.64/x
  3. Step 3: Cross multiply
    7,102.60x = 9,801.40 × 4,077.64
  4. Step 4: Simplify right side
    7,102.60x = 39,966,580.70
  5. Step 5: Solve for x
    x = 39,966,580.70/7,102.60
  6. Step 6: Final answer
    x = 5,627.04

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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.