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Finding the Fourth Proportional to 8,532.64, 12,779.76 and 6,345.12

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Solution

The fourth proportional to 8,532.64, 12,779.76 and 6,345.12 is: 9,503.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.64 : 12,779.76 = 6,345.12 : x
  2. Step 2: Convert to fraction form
    8,532.64/12,779.76 = 6,345.12/x
  3. Step 3: Cross multiply
    8,532.64x = 12,779.76 × 6,345.12
  4. Step 4: Simplify right side
    8,532.64x = 81,089,110.77
  5. Step 5: Solve for x
    x = 81,089,110.77/8,532.64
  6. Step 6: Final answer
    x = 9,503.40

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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.