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Finding the Fourth Proportional to 9,980.84, 14,951.25 and 6,458.69

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Solution

The fourth proportional to 9,980.84, 14,951.25 and 6,458.69 is: 9,675.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.84 : 14,951.25 = 6,458.69 : x
  2. Step 2: Convert to fraction form
    9,980.84/14,951.25 = 6,458.69/x
  3. Step 3: Cross multiply
    9,980.84x = 14,951.25 × 6,458.69
  4. Step 4: Simplify right side
    9,980.84x = 96,565,414.11
  5. Step 5: Solve for x
    x = 96,565,414.11/9,980.84
  6. Step 6: Final answer
    x = 9,675.08

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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.