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Finding the Fourth Proportional to 12,332.02, 17,017.32 and 6,954.66

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Solution

The fourth proportional to 12,332.02, 17,017.32 and 6,954.66 is: 9,596.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,332.02 : 17,017.32 = 6,954.66 : x
  2. Step 2: Convert to fraction form
    12,332.02/17,017.32 = 6,954.66/x
  3. Step 3: Cross multiply
    12,332.02x = 17,017.32 × 6,954.66
  4. Step 4: Simplify right side
    12,332.02x = 118,349,642.11
  5. Step 5: Solve for x
    x = 118,349,642.11/12,332.02
  6. Step 6: Final answer
    x = 9,596.94

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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.