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Finding the Fourth Proportional to 9,925.34, 14,813.74 and 9,761.31

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Solution

The fourth proportional to 9,925.34, 14,813.74 and 9,761.31 is: 14,568.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,925.34 : 14,813.74 = 9,761.31 : x
  2. Step 2: Convert to fraction form
    9,925.34/14,813.74 = 9,761.31/x
  3. Step 3: Cross multiply
    9,925.34x = 14,813.74 × 9,761.31
  4. Step 4: Simplify right side
    9,925.34x = 144,601,465.69
  5. Step 5: Solve for x
    x = 144,601,465.69/9,925.34
  6. Step 6: Final answer
    x = 14,568.93

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.