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Finding the Fourth Proportional to 9,525.18, 13,139.02 and 6,295.02

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Solution

The fourth proportional to 9,525.18, 13,139.02 and 6,295.02 is: 8,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.18 : 13,139.02 = 6,295.02 : x
  2. Step 2: Convert to fraction form
    9,525.18/13,139.02 = 6,295.02/x
  3. Step 3: Cross multiply
    9,525.18x = 13,139.02 × 6,295.02
  4. Step 4: Simplify right side
    9,525.18x = 82,710,393.68
  5. Step 5: Solve for x
    x = 82,710,393.68/9,525.18
  6. Step 6: Final answer
    x = 8,683.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.