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Finding the Fourth Proportional to 7,095.68, 9,801.60 and 6,433.28

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Solution

The fourth proportional to 7,095.68, 9,801.60 and 6,433.28 is: 8,886.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,095.68 : 9,801.60 = 6,433.28 : x
  2. Step 2: Convert to fraction form
    7,095.68/9,801.60 = 6,433.28/x
  3. Step 3: Cross multiply
    7,095.68x = 9,801.60 × 6,433.28
  4. Step 4: Simplify right side
    7,095.68x = 63,056,437.25
  5. Step 5: Solve for x
    x = 63,056,437.25/7,095.68
  6. Step 6: Final answer
    x = 8,886.60

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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.