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Finding the Fourth Proportional to 9,620.76, 13,275.90 and 5,641.32

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Solution

The fourth proportional to 9,620.76, 13,275.90 and 5,641.32 is: 7,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,620.76 : 13,275.90 = 5,641.32 : x
  2. Step 2: Convert to fraction form
    9,620.76/13,275.90 = 5,641.32/x
  3. Step 3: Cross multiply
    9,620.76x = 13,275.90 × 5,641.32
  4. Step 4: Simplify right side
    9,620.76x = 74,893,600.19
  5. Step 5: Solve for x
    x = 74,893,600.19/9,620.76
  6. Step 6: Final answer
    x = 7,784.58

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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.