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Finding the Fourth Proportional to 9,605.72, 14,408.58 and 7,417.64

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Solution

The fourth proportional to 9,605.72, 14,408.58 and 7,417.64 is: 11,126.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,605.72 : 14,408.58 = 7,417.64 : x
  2. Step 2: Convert to fraction form
    9,605.72/14,408.58 = 7,417.64/x
  3. Step 3: Cross multiply
    9,605.72x = 14,408.58 × 7,417.64
  4. Step 4: Simplify right side
    9,605.72x = 106,877,659.35
  5. Step 5: Solve for x
    x = 106,877,659.35/9,605.72
  6. Step 6: Final answer
    x = 11,126.46

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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.