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Finding the Fourth Proportional to 9,686.58, 14,503.77 and 6,157.50

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Solution

The fourth proportional to 9,686.58, 14,503.77 and 6,157.50 is: 9,219.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.58 : 14,503.77 = 6,157.50 : x
  2. Step 2: Convert to fraction form
    9,686.58/14,503.77 = 6,157.50/x
  3. Step 3: Cross multiply
    9,686.58x = 14,503.77 × 6,157.50
  4. Step 4: Simplify right side
    9,686.58x = 89,306,963.78
  5. Step 5: Solve for x
    x = 89,306,963.78/9,686.58
  6. Step 6: Final answer
    x = 9,219.66

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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.