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Finding the Fourth Proportional to 9,730.88, 14,596.20 and 6,603.14

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Solution

The fourth proportional to 9,730.88, 14,596.20 and 6,603.14 is: 9,904.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,730.88 : 14,596.20 = 6,603.14 : x
  2. Step 2: Convert to fraction form
    9,730.88/14,596.20 = 6,603.14/x
  3. Step 3: Cross multiply
    9,730.88x = 14,596.20 × 6,603.14
  4. Step 4: Simplify right side
    9,730.88x = 96,380,752.07
  5. Step 5: Solve for x
    x = 96,380,752.07/9,730.88
  6. Step 6: Final answer
    x = 9,904.63

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