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Finding the Fourth Proportional to 9,918.54, 14,864 and 6,590.70

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Solution

The fourth proportional to 9,918.54, 14,864 and 6,590.70 is: 9,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,918.54 : 14,864 = 6,590.70 : x
  2. Step 2: Convert to fraction form
    9,918.54/14,864 = 6,590.70/x
  3. Step 3: Cross multiply
    9,918.54x = 14,864 × 6,590.70
  4. Step 4: Simplify right side
    9,918.54x = 97,964,164.80
  5. Step 5: Solve for x
    x = 97,964,164.80/9,918.54
  6. Step 6: Final answer
    x = 9,876.87

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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.