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Finding the Fourth Proportional to 9,807.66, 13,523.31 and 7,445.70

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Solution

The fourth proportional to 9,807.66, 13,523.31 and 7,445.70 is: 10,266.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,807.66 : 13,523.31 = 7,445.70 : x
  2. Step 2: Convert to fraction form
    9,807.66/13,523.31 = 7,445.70/x
  3. Step 3: Cross multiply
    9,807.66x = 13,523.31 × 7,445.70
  4. Step 4: Simplify right side
    9,807.66x = 100,690,509.27
  5. Step 5: Solve for x
    x = 100,690,509.27/9,807.66
  6. Step 6: Final answer
    x = 10,266.52

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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.