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Finding the Fourth Proportional to 9,802.38, 14,670.72 and 8,047.29

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Solution

The fourth proportional to 9,802.38, 14,670.72 and 8,047.29 is: 12,043.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.38 : 14,670.72 = 8,047.29 : x
  2. Step 2: Convert to fraction form
    9,802.38/14,670.72 = 8,047.29/x
  3. Step 3: Cross multiply
    9,802.38x = 14,670.72 × 8,047.29
  4. Step 4: Simplify right side
    9,802.38x = 118,059,538.35
  5. Step 5: Solve for x
    x = 118,059,538.35/9,802.38
  6. Step 6: Final answer
    x = 12,043.97

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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.