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Finding the Fourth Proportional to 7,032.66, 9,695.05 and 4,791.66

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Solution

The fourth proportional to 7,032.66, 9,695.05 and 4,791.66 is: 6,605.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,032.66 : 9,695.05 = 4,791.66 : x
  2. Step 2: Convert to fraction form
    7,032.66/9,695.05 = 4,791.66/x
  3. Step 3: Cross multiply
    7,032.66x = 9,695.05 × 4,791.66
  4. Step 4: Simplify right side
    7,032.66x = 46,455,334.95
  5. Step 5: Solve for x
    x = 46,455,334.95/7,032.66
  6. Step 6: Final answer
    x = 6,605.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.