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Finding the Fourth Proportional to 9,609.95, 14,415.54 and 4,062.57

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Solution

The fourth proportional to 9,609.95, 14,415.54 and 4,062.57 is: 6,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.95 : 14,415.54 = 4,062.57 : x
  2. Step 2: Convert to fraction form
    9,609.95/14,415.54 = 4,062.57/x
  3. Step 3: Cross multiply
    9,609.95x = 14,415.54 × 4,062.57
  4. Step 4: Simplify right side
    9,609.95x = 58,564,071.04
  5. Step 5: Solve for x
    x = 58,564,071.04/9,609.95
  6. Step 6: Final answer
    x = 6,094.11

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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.