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Finding the Fourth Proportional to 9,559.64, 14,342.02 and 8,645.72

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Solution

The fourth proportional to 9,559.64, 14,342.02 and 8,645.72 is: 12,970.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,559.64 : 14,342.02 = 8,645.72 : x
  2. Step 2: Convert to fraction form
    9,559.64/14,342.02 = 8,645.72/x
  3. Step 3: Cross multiply
    9,559.64x = 14,342.02 × 8,645.72
  4. Step 4: Simplify right side
    9,559.64x = 123,997,089.15
  5. Step 5: Solve for x
    x = 123,997,089.15/9,559.64
  6. Step 6: Final answer
    x = 12,970.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.