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Finding the Fourth Proportional to 7,154.70, 9,873.60 and 4,637.82

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Solution

The fourth proportional to 7,154.70, 9,873.60 and 4,637.82 is: 6,400.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.70 : 9,873.60 = 4,637.82 : x
  2. Step 2: Convert to fraction form
    7,154.70/9,873.60 = 4,637.82/x
  3. Step 3: Cross multiply
    7,154.70x = 9,873.60 × 4,637.82
  4. Step 4: Simplify right side
    7,154.70x = 45,791,979.55
  5. Step 5: Solve for x
    x = 45,791,979.55/7,154.70
  6. Step 6: Final answer
    x = 6,400.27

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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.