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Finding the Fourth Proportional to 9,551.60, 13,211.16 and 8,447.60

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Solution

The fourth proportional to 9,551.60, 13,211.16 and 8,447.60 is: 11,684.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,551.60 : 13,211.16 = 8,447.60 : x
  2. Step 2: Convert to fraction form
    9,551.60/13,211.16 = 8,447.60/x
  3. Step 3: Cross multiply
    9,551.60x = 13,211.16 × 8,447.60
  4. Step 4: Simplify right side
    9,551.60x = 111,602,595.22
  5. Step 5: Solve for x
    x = 111,602,595.22/9,551.60
  6. Step 6: Final answer
    x = 11,684.18

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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.