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Finding the Fourth Proportional to 9,973.32, 14,905.90 and 9,185.19

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Solution

The fourth proportional to 9,973.32, 14,905.90 and 9,185.19 is: 13,727.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,973.32 : 14,905.90 = 9,185.19 : x
  2. Step 2: Convert to fraction form
    9,973.32/14,905.90 = 9,185.19/x
  3. Step 3: Cross multiply
    9,973.32x = 14,905.90 × 9,185.19
  4. Step 4: Simplify right side
    9,973.32x = 136,913,523.62
  5. Step 5: Solve for x
    x = 136,913,523.62/9,973.32
  6. Step 6: Final answer
    x = 13,727.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.