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Finding the Fourth Proportional to 9,269.64, 13,905 and 2,695.68

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Solution

The fourth proportional to 9,269.64, 13,905 and 2,695.68 is: 4,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.64 : 13,905 = 2,695.68 : x
  2. Step 2: Convert to fraction form
    9,269.64/13,905 = 2,695.68/x
  3. Step 3: Cross multiply
    9,269.64x = 13,905 × 2,695.68
  4. Step 4: Simplify right side
    9,269.64x = 37,483,430.40
  5. Step 5: Solve for x
    x = 37,483,430.40/9,269.64
  6. Step 6: Final answer
    x = 4,043.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.