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Finding the Fourth Proportional to 9,779.40, 14,669.10 and 8,627.40

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Solution

The fourth proportional to 9,779.40, 14,669.10 and 8,627.40 is: 12,941.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.40 : 14,669.10 = 8,627.40 : x
  2. Step 2: Convert to fraction form
    9,779.40/14,669.10 = 8,627.40/x
  3. Step 3: Cross multiply
    9,779.40x = 14,669.10 × 8,627.40
  4. Step 4: Simplify right side
    9,779.40x = 126,556,193.34
  5. Step 5: Solve for x
    x = 126,556,193.34/9,779.40
  6. Step 6: Final answer
    x = 12,941.10

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Similar ratio
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1.5x scale

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.