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Finding the Fourth Proportional to 9,761.19, 14,641.66 and 2,365.71

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Solution

The fourth proportional to 9,761.19, 14,641.66 and 2,365.71 is: 3,548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.19 : 14,641.66 = 2,365.71 : x
  2. Step 2: Convert to fraction form
    9,761.19/14,641.66 = 2,365.71/x
  3. Step 3: Cross multiply
    9,761.19x = 14,641.66 × 2,365.71
  4. Step 4: Simplify right side
    9,761.19x = 34,637,952.17
  5. Step 5: Solve for x
    x = 34,637,952.17/9,761.19
  6. Step 6: Final answer
    x = 3,548.54

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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.