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Finding the Fourth Proportional to 9,490.64, 13,075.77 and 6,616.70

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Solution

The fourth proportional to 9,490.64, 13,075.77 and 6,616.70 is: 9,116.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,490.64 : 13,075.77 = 6,616.70 : x
  2. Step 2: Convert to fraction form
    9,490.64/13,075.77 = 6,616.70/x
  3. Step 3: Cross multiply
    9,490.64x = 13,075.77 × 6,616.70
  4. Step 4: Simplify right side
    9,490.64x = 86,518,447.36
  5. Step 5: Solve for x
    x = 86,518,447.36/9,490.64
  6. Step 6: Final answer
    x = 9,116.19

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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.