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Finding the Fourth Proportional to 9,417.78, 14,126.16 and 2,397.96

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Solution

The fourth proportional to 9,417.78, 14,126.16 and 2,397.96 is: 3,596.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,417.78 : 14,126.16 = 2,397.96 : x
  2. Step 2: Convert to fraction form
    9,417.78/14,126.16 = 2,397.96/x
  3. Step 3: Cross multiply
    9,417.78x = 14,126.16 × 2,397.96
  4. Step 4: Simplify right side
    9,417.78x = 33,873,966.63
  5. Step 5: Solve for x
    x = 33,873,966.63/9,417.78
  6. Step 6: Final answer
    x = 3,596.81

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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.