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Finding the Fourth Proportional to 9,446.73, 13,038.48 and 7,570.77

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Solution

The fourth proportional to 9,446.73, 13,038.48 and 7,570.77 is: 10,449.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.73 : 13,038.48 = 7,570.77 : x
  2. Step 2: Convert to fraction form
    9,446.73/13,038.48 = 7,570.77/x
  3. Step 3: Cross multiply
    9,446.73x = 13,038.48 × 7,570.77
  4. Step 4: Simplify right side
    9,446.73x = 98,711,333.23
  5. Step 5: Solve for x
    x = 98,711,333.23/9,446.73
  6. Step 6: Final answer
    x = 10,449.26

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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.