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Finding the Fourth Proportional to 9,114.30, 13,671.45 and 7,656.30

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Solution

The fourth proportional to 9,114.30, 13,671.45 and 7,656.30 is: 11,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.30 : 13,671.45 = 7,656.30 : x
  2. Step 2: Convert to fraction form
    9,114.30/13,671.45 = 7,656.30/x
  3. Step 3: Cross multiply
    9,114.30x = 13,671.45 × 7,656.30
  4. Step 4: Simplify right side
    9,114.30x = 104,672,722.64
  5. Step 5: Solve for x
    x = 104,672,722.64/9,114.30
  6. Step 6: Final answer
    x = 11,484.45

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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.