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Finding the Fourth Proportional to 9,698.30, 13,384.23 and 7,304.05

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Solution

The fourth proportional to 9,698.30, 13,384.23 and 7,304.05 is: 10,080.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.30 : 13,384.23 = 7,304.05 : x
  2. Step 2: Convert to fraction form
    9,698.30/13,384.23 = 7,304.05/x
  3. Step 3: Cross multiply
    9,698.30x = 13,384.23 × 7,304.05
  4. Step 4: Simplify right side
    9,698.30x = 97,759,101.86
  5. Step 5: Solve for x
    x = 97,759,101.86/9,698.30
  6. Step 6: Final answer
    x = 10,080.02

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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.