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Finding the Fourth Proportional to 9,708, 14,567.28 and 3,864.60

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Solution

The fourth proportional to 9,708, 14,567.28 and 3,864.60 is: 5,799.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708 : 14,567.28 = 3,864.60 : x
  2. Step 2: Convert to fraction form
    9,708/14,567.28 = 3,864.60/x
  3. Step 3: Cross multiply
    9,708x = 14,567.28 × 3,864.60
  4. Step 4: Simplify right side
    9,708x = 56,296,710.29
  5. Step 5: Solve for x
    x = 56,296,710.29/9,708
  6. Step 6: Final answer
    x = 5,799.00

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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.