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Finding the Fourth Proportional to 9,755.02, 13,461.62 and 5,776.17

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Solution

The fourth proportional to 9,755.02, 13,461.62 and 5,776.17 is: 7,970.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.02 : 13,461.62 = 5,776.17 : x
  2. Step 2: Convert to fraction form
    9,755.02/13,461.62 = 5,776.17/x
  3. Step 3: Cross multiply
    9,755.02x = 13,461.62 × 5,776.17
  4. Step 4: Simplify right side
    9,755.02x = 77,756,538.29
  5. Step 5: Solve for x
    x = 77,756,538.29/9,755.02
  6. Step 6: Final answer
    x = 7,970.93

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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.