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Finding the Fourth Proportional to 9,710.16, 14,564.42 and 3,865.20

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Solution

The fourth proportional to 9,710.16, 14,564.42 and 3,865.20 is: 5,797.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.16 : 14,564.42 = 3,865.20 : x
  2. Step 2: Convert to fraction form
    9,710.16/14,564.42 = 3,865.20/x
  3. Step 3: Cross multiply
    9,710.16x = 14,564.42 × 3,865.20
  4. Step 4: Simplify right side
    9,710.16x = 56,294,396.18
  5. Step 5: Solve for x
    x = 56,294,396.18/9,710.16
  6. Step 6: Final answer
    x = 5,797.47

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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.