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Finding the Fourth Proportional to 9,921.51, 13,693.86 and 7,763.78

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Solution

The fourth proportional to 9,921.51, 13,693.86 and 7,763.78 is: 10,715.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,921.51 : 13,693.86 = 7,763.78 : x
  2. Step 2: Convert to fraction form
    9,921.51/13,693.86 = 7,763.78/x
  3. Step 3: Cross multiply
    9,921.51x = 13,693.86 × 7,763.78
  4. Step 4: Simplify right side
    9,921.51x = 106,316,150.63
  5. Step 5: Solve for x
    x = 106,316,150.63/9,921.51
  6. Step 6: Final answer
    x = 10,715.72

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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.