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Finding the Fourth Proportional to 9,760.73, 14,641.13 and 2,365.18

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Solution

The fourth proportional to 9,760.73, 14,641.13 and 2,365.18 is: 3,547.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.73 : 14,641.13 = 2,365.18 : x
  2. Step 2: Convert to fraction form
    9,760.73/14,641.13 = 2,365.18/x
  3. Step 3: Cross multiply
    9,760.73x = 14,641.13 × 2,365.18
  4. Step 4: Simplify right side
    9,760.73x = 34,628,877.16
  5. Step 5: Solve for x
    x = 34,628,877.16/9,760.73
  6. Step 6: Final answer
    x = 3,547.78

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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.