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Finding the Fourth Proportional to 8,569.68, 11,820.32 and 6,450.72

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Solution

The fourth proportional to 8,569.68, 11,820.32 and 6,450.72 is: 8,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,569.68 : 11,820.32 = 6,450.72 : x
  2. Step 2: Convert to fraction form
    8,569.68/11,820.32 = 6,450.72/x
  3. Step 3: Cross multiply
    8,569.68x = 11,820.32 × 6,450.72
  4. Step 4: Simplify right side
    8,569.68x = 76,249,574.63
  5. Step 5: Solve for x
    x = 76,249,574.63/8,569.68
  6. Step 6: Final answer
    x = 8,897.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.