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Finding the Fourth Proportional to 9,417.77, 14,114.35 and 7,221.88

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Solution

The fourth proportional to 9,417.77, 14,114.35 and 7,221.88 is: 10,823.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.77 : 14,114.35 = 7,221.88 : x
  2. Step 2: Convert to fraction form
    9,417.77/14,114.35 = 7,221.88/x
  3. Step 3: Cross multiply
    9,417.77x = 14,114.35 × 7,221.88
  4. Step 4: Simplify right side
    9,417.77x = 101,932,208.34
  5. Step 5: Solve for x
    x = 101,932,208.34/9,417.77
  6. Step 6: Final answer
    x = 10,823.39

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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.