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Finding the Fourth Proportional to 9,760.59, 14,640.89 and 2,365.02

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Solution

The fourth proportional to 9,760.59, 14,640.89 and 2,365.02 is: 3,547.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.59 : 14,640.89 = 2,365.02 : x
  2. Step 2: Convert to fraction form
    9,760.59/14,640.89 = 2,365.02/x
  3. Step 3: Cross multiply
    9,760.59x = 14,640.89 × 2,365.02
  4. Step 4: Simplify right side
    9,760.59x = 34,625,985.84
  5. Step 5: Solve for x
    x = 34,625,985.84/9,760.59
  6. Step 6: Final answer
    x = 3,547.53

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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.