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Finding the Fourth Proportional to 9,603.60, 14,407.40 and 4,056.96

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Solution

The fourth proportional to 9,603.60, 14,407.40 and 4,056.96 is: 6,086.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,603.60 : 14,407.40 = 4,056.96 : x
  2. Step 2: Convert to fraction form
    9,603.60/14,407.40 = 4,056.96/x
  3. Step 3: Cross multiply
    9,603.60x = 14,407.40 × 4,056.96
  4. Step 4: Simplify right side
    9,603.60x = 58,450,245.50
  5. Step 5: Solve for x
    x = 58,450,245.50/9,603.60
  6. Step 6: Final answer
    x = 6,086.28

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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.