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Finding the Fourth Proportional to 9,641.03, 14,460.93 and 3,071.93

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Solution

The fourth proportional to 9,641.03, 14,460.93 and 3,071.93 is: 4,607.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,641.03 : 14,460.93 = 3,071.93 : x
  2. Step 2: Convert to fraction form
    9,641.03/14,460.93 = 3,071.93/x
  3. Step 3: Cross multiply
    9,641.03x = 14,460.93 × 3,071.93
  4. Step 4: Simplify right side
    9,641.03x = 44,422,892.39
  5. Step 5: Solve for x
    x = 44,422,892.39/9,641.03
  6. Step 6: Final answer
    x = 4,607.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.