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Finding the Fourth Proportional to 9,564.69, 14,347.03 and 2,990.93

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Solution

The fourth proportional to 9,564.69, 14,347.03 and 2,990.93 is: 4,486.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,564.69 : 14,347.03 = 2,990.93 : x
  2. Step 2: Convert to fraction form
    9,564.69/14,347.03 = 2,990.93/x
  3. Step 3: Cross multiply
    9,564.69x = 14,347.03 × 2,990.93
  4. Step 4: Simplify right side
    9,564.69x = 42,910,962.44
  5. Step 5: Solve for x
    x = 42,910,962.44/9,564.69
  6. Step 6: Final answer
    x = 4,486.39

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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.