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Finding the Fourth Proportional to 9,743.90, 14,607.08 and 3,502.45

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Solution

The fourth proportional to 9,743.90, 14,607.08 and 3,502.45 is: 5,250.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743.90 : 14,607.08 = 3,502.45 : x
  2. Step 2: Convert to fraction form
    9,743.90/14,607.08 = 3,502.45/x
  3. Step 3: Cross multiply
    9,743.90x = 14,607.08 × 3,502.45
  4. Step 4: Simplify right side
    9,743.90x = 51,160,567.35
  5. Step 5: Solve for x
    x = 51,160,567.35/9,743.90
  6. Step 6: Final answer
    x = 5,250.52

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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.