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Finding the Fourth Proportional to 9,802.98, 13,526.73 and 6,977.70

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Solution

The fourth proportional to 9,802.98, 13,526.73 and 6,977.70 is: 9,628.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,802.98 : 13,526.73 = 6,977.70 : x
  2. Step 2: Convert to fraction form
    9,802.98/13,526.73 = 6,977.70/x
  3. Step 3: Cross multiply
    9,802.98x = 13,526.73 × 6,977.70
  4. Step 4: Simplify right side
    9,802.98x = 94,385,463.92
  5. Step 5: Solve for x
    x = 94,385,463.92/9,802.98
  6. Step 6: Final answer
    x = 9,628.24

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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.