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Finding the Fourth Proportional to 7,117.84, 9,802.12 and 7,096.24

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Solution

The fourth proportional to 7,117.84, 9,802.12 and 7,096.24 is: 9,772.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.84 : 9,802.12 = 7,096.24 : x
  2. Step 2: Convert to fraction form
    7,117.84/9,802.12 = 7,096.24/x
  3. Step 3: Cross multiply
    7,117.84x = 9,802.12 × 7,096.24
  4. Step 4: Simplify right side
    7,117.84x = 69,558,196.03
  5. Step 5: Solve for x
    x = 69,558,196.03/7,117.84
  6. Step 6: Final answer
    x = 9,772.37

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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.