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Finding the Fourth Proportional to 9,802.35, 13,530 and 8,038.17

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Solution

The fourth proportional to 9,802.35, 13,530 and 8,038.17 is: 11,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.35 : 13,530 = 8,038.17 : x
  2. Step 2: Convert to fraction form
    9,802.35/13,530 = 8,038.17/x
  3. Step 3: Cross multiply
    9,802.35x = 13,530 × 8,038.17
  4. Step 4: Simplify right side
    9,802.35x = 108,756,440.10
  5. Step 5: Solve for x
    x = 108,756,440.10/9,802.35
  6. Step 6: Final answer
    x = 11,094.94

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Why These Related Problems?

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