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Finding the Fourth Proportional to 9,698.17, 13,388.59 and 6,528.14

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Solution

The fourth proportional to 9,698.17, 13,388.59 and 6,528.14 is: 9,012.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,698.17 : 13,388.59 = 6,528.14 : x
  2. Step 2: Convert to fraction form
    9,698.17/13,388.59 = 6,528.14/x
  3. Step 3: Cross multiply
    9,698.17x = 13,388.59 × 6,528.14
  4. Step 4: Simplify right side
    9,698.17x = 87,402,543.69
  5. Step 5: Solve for x
    x = 87,402,543.69/9,698.17
  6. Step 6: Final answer
    x = 9,012.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.