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Finding the Fourth Proportional to 9,698.52, 14,547.66 and 4,147.14

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Solution

The fourth proportional to 9,698.52, 14,547.66 and 4,147.14 is: 6,220.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.52 : 14,547.66 = 4,147.14 : x
  2. Step 2: Convert to fraction form
    9,698.52/14,547.66 = 4,147.14/x
  3. Step 3: Cross multiply
    9,698.52x = 14,547.66 × 4,147.14
  4. Step 4: Simplify right side
    9,698.52x = 60,331,182.69
  5. Step 5: Solve for x
    x = 60,331,182.69/9,698.52
  6. Step 6: Final answer
    x = 6,220.66

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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.