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Finding the Fourth Proportional to 9,640.76, 13,303.32 and 5,606.48

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Solution

The fourth proportional to 9,640.76, 13,303.32 and 5,606.48 is: 7,736.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.76 : 13,303.32 = 5,606.48 : x
  2. Step 2: Convert to fraction form
    9,640.76/13,303.32 = 5,606.48/x
  3. Step 3: Cross multiply
    9,640.76x = 13,303.32 × 5,606.48
  4. Step 4: Simplify right side
    9,640.76x = 74,584,797.51
  5. Step 5: Solve for x
    x = 74,584,797.51/9,640.76
  6. Step 6: Final answer
    x = 7,736.40

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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.