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Finding the Fourth Proportional to 9,404.17, 14,106.93 and 3,164.16

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Solution

The fourth proportional to 9,404.17, 14,106.93 and 3,164.16 is: 4,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,404.17 : 14,106.93 = 3,164.16 : x
  2. Step 2: Convert to fraction form
    9,404.17/14,106.93 = 3,164.16/x
  3. Step 3: Cross multiply
    9,404.17x = 14,106.93 × 3,164.16
  4. Step 4: Simplify right side
    9,404.17x = 44,636,513.09
  5. Step 5: Solve for x
    x = 44,636,513.09/9,404.17
  6. Step 6: Final answer
    x = 4,746.46

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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.