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Finding the Fourth Proportional to 9,802.20, 13,526.28 and 6,024.96

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Solution

The fourth proportional to 9,802.20, 13,526.28 and 6,024.96 is: 8,313.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.20 : 13,526.28 = 6,024.96 : x
  2. Step 2: Convert to fraction form
    9,802.20/13,526.28 = 6,024.96/x
  3. Step 3: Cross multiply
    9,802.20x = 13,526.28 × 6,024.96
  4. Step 4: Simplify right side
    9,802.20x = 81,495,295.95
  5. Step 5: Solve for x
    x = 81,495,295.95/9,802.20
  6. Step 6: Final answer
    x = 8,313.98

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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.