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Finding the Fourth Proportional to 9,787.82, 14,663.25 and 7,585.77

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Solution

The fourth proportional to 9,787.82, 14,663.25 and 7,585.77 is: 11,364.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,787.82 : 14,663.25 = 7,585.77 : x
  2. Step 2: Convert to fraction form
    9,787.82/14,663.25 = 7,585.77/x
  3. Step 3: Cross multiply
    9,787.82x = 14,663.25 × 7,585.77
  4. Step 4: Simplify right side
    9,787.82x = 111,232,041.95
  5. Step 5: Solve for x
    x = 111,232,041.95/9,787.82
  6. Step 6: Final answer
    x = 11,364.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.