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Finding the Fourth Proportional to 9,698.45, 14,554.04 and 5,319

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Solution

The fourth proportional to 9,698.45, 14,554.04 and 5,319 is: 7,981.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.45 : 14,554.04 = 5,319 : x
  2. Step 2: Convert to fraction form
    9,698.45/14,554.04 = 5,319/x
  3. Step 3: Cross multiply
    9,698.45x = 14,554.04 × 5,319
  4. Step 4: Simplify right side
    9,698.45x = 77,412,912.17
  5. Step 5: Solve for x
    x = 77,412,912.17/9,698.45
  6. Step 6: Final answer
    x = 7,981.99

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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.