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Finding the Fourth Proportional to 9,782.53, 14,673.66 and 2,387.02

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Solution

The fourth proportional to 9,782.53, 14,673.66 and 2,387.02 is: 3,580.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,782.53 : 14,673.66 = 2,387.02 : x
  2. Step 2: Convert to fraction form
    9,782.53/14,673.66 = 2,387.02/x
  3. Step 3: Cross multiply
    9,782.53x = 14,673.66 × 2,387.02
  4. Step 4: Simplify right side
    9,782.53x = 35,026,319.89
  5. Step 5: Solve for x
    x = 35,026,319.89/9,782.53
  6. Step 6: Final answer
    x = 3,580.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.