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Finding the Fourth Proportional to 8,646.16, 12,945.63 and 6,531.59

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Solution

The fourth proportional to 8,646.16, 12,945.63 and 6,531.59 is: 9,779.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.16 : 12,945.63 = 6,531.59 : x
  2. Step 2: Convert to fraction form
    8,646.16/12,945.63 = 6,531.59/x
  3. Step 3: Cross multiply
    8,646.16x = 12,945.63 × 6,531.59
  4. Step 4: Simplify right side
    8,646.16x = 84,555,482.72
  5. Step 5: Solve for x
    x = 84,555,482.72/8,646.16
  6. Step 6: Final answer
    x = 9,779.54

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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.