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Finding the Fourth Proportional to 10,697.64, 14,740.74 and 9,633.30

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Solution

The fourth proportional to 10,697.64, 14,740.74 and 9,633.30 is: 13,274.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,697.64 : 14,740.74 = 9,633.30 : x
  2. Step 2: Convert to fraction form
    10,697.64/14,740.74 = 9,633.30/x
  3. Step 3: Cross multiply
    10,697.64x = 14,740.74 × 9,633.30
  4. Step 4: Simplify right side
    10,697.64x = 142,001,970.64
  5. Step 5: Solve for x
    x = 142,001,970.64/10,697.64
  6. Step 6: Final answer
    x = 13,274.14

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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.