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Finding the Fourth Proportional to 9,730.48, 13,416.36 and 6,748.88

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Solution

The fourth proportional to 9,730.48, 13,416.36 and 6,748.88 is: 9,305.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.48 : 13,416.36 = 6,748.88 : x
  2. Step 2: Convert to fraction form
    9,730.48/13,416.36 = 6,748.88/x
  3. Step 3: Cross multiply
    9,730.48x = 13,416.36 × 6,748.88
  4. Step 4: Simplify right side
    9,730.48x = 90,545,403.68
  5. Step 5: Solve for x
    x = 90,545,403.68/9,730.48
  6. Step 6: Final answer
    x = 9,305.34

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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.