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Finding the Fourth Proportional to 9,638.90, 14,458.35 and 9,055.70

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Solution

The fourth proportional to 9,638.90, 14,458.35 and 9,055.70 is: 13,583.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.90 : 14,458.35 = 9,055.70 : x
  2. Step 2: Convert to fraction form
    9,638.90/14,458.35 = 9,055.70/x
  3. Step 3: Cross multiply
    9,638.90x = 14,458.35 × 9,055.70
  4. Step 4: Simplify right side
    9,638.90x = 130,930,480.10
  5. Step 5: Solve for x
    x = 130,930,480.10/9,638.90
  6. Step 6: Final answer
    x = 13,583.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.