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Finding the Fourth Proportional to 9,636.47, 14,454.70 and 2,710.97

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Solution

The fourth proportional to 9,636.47, 14,454.70 and 2,710.97 is: 4,066.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,636.47 : 14,454.70 = 2,710.97 : x
  2. Step 2: Convert to fraction form
    9,636.47/14,454.70 = 2,710.97/x
  3. Step 3: Cross multiply
    9,636.47x = 14,454.70 × 2,710.97
  4. Step 4: Simplify right side
    9,636.47x = 39,186,248.46
  5. Step 5: Solve for x
    x = 39,186,248.46/9,636.47
  6. Step 6: Final answer
    x = 4,066.45

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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.