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Finding the Fourth Proportional to 9,701.75, 14,554.38 and 6,417.56

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Solution

The fourth proportional to 9,701.75, 14,554.38 and 6,417.56 is: 9,627.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,701.75 : 14,554.38 = 6,417.56 : x
  2. Step 2: Convert to fraction form
    9,701.75/14,554.38 = 6,417.56/x
  3. Step 3: Cross multiply
    9,701.75x = 14,554.38 × 6,417.56
  4. Step 4: Simplify right side
    9,701.75x = 93,403,606.91
  5. Step 5: Solve for x
    x = 93,403,606.91/9,701.75
  6. Step 6: Final answer
    x = 9,627.50

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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.