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Finding the Fourth Proportional to 9,686.55, 13,367.88 and 7,587.03

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Solution

The fourth proportional to 9,686.55, 13,367.88 and 7,587.03 is: 10,470.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.55 : 13,367.88 = 7,587.03 : x
  2. Step 2: Convert to fraction form
    9,686.55/13,367.88 = 7,587.03/x
  3. Step 3: Cross multiply
    9,686.55x = 13,367.88 × 7,587.03
  4. Step 4: Simplify right side
    9,686.55x = 101,422,506.60
  5. Step 5: Solve for x
    x = 101,422,506.60/9,686.55
  6. Step 6: Final answer
    x = 10,470.45

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