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Finding the Fourth Proportional to 9,704.94, 14,554.53 and 3,547.50

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Solution

The fourth proportional to 9,704.94, 14,554.53 and 3,547.50 is: 5,320.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,704.94 : 14,554.53 = 3,547.50 : x
  2. Step 2: Convert to fraction form
    9,704.94/14,554.53 = 3,547.50/x
  3. Step 3: Cross multiply
    9,704.94x = 14,554.53 × 3,547.50
  4. Step 4: Simplify right side
    9,704.94x = 51,632,195.18
  5. Step 5: Solve for x
    x = 51,632,195.18/9,704.94
  6. Step 6: Final answer
    x = 5,320.20

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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.