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Finding the Fourth Proportional to 7,214.48, 9,937.28 and 6,730.64

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Solution

The fourth proportional to 7,214.48, 9,937.28 and 6,730.64 is: 9,270.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,214.48 : 9,937.28 = 6,730.64 : x
  2. Step 2: Convert to fraction form
    7,214.48/9,937.28 = 6,730.64/x
  3. Step 3: Cross multiply
    7,214.48x = 9,937.28 × 6,730.64
  4. Step 4: Simplify right side
    7,214.48x = 66,884,254.26
  5. Step 5: Solve for x
    x = 66,884,254.26/7,214.48
  6. Step 6: Final answer
    x = 9,270.84

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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.