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Finding the Fourth Proportional to 9,913.36, 14,905.32 and 9,135.76

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Solution

The fourth proportional to 9,913.36, 14,905.32 and 9,135.76 is: 13,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.36 : 14,905.32 = 9,135.76 : x
  2. Step 2: Convert to fraction form
    9,913.36/14,905.32 = 9,135.76/x
  3. Step 3: Cross multiply
    9,913.36x = 14,905.32 × 9,135.76
  4. Step 4: Simplify right side
    9,913.36x = 136,171,426.24
  5. Step 5: Solve for x
    x = 136,171,426.24/9,913.36
  6. Step 6: Final answer
    x = 13,736.15

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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.