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Finding the Fourth Proportional to 9,161.48, 12,646.10 and 5,574.80

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Solution

The fourth proportional to 9,161.48, 12,646.10 and 5,574.80 is: 7,695.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.48 : 12,646.10 = 5,574.80 : x
  2. Step 2: Convert to fraction form
    9,161.48/12,646.10 = 5,574.80/x
  3. Step 3: Cross multiply
    9,161.48x = 12,646.10 × 5,574.80
  4. Step 4: Simplify right side
    9,161.48x = 70,499,482.02
  5. Step 5: Solve for x
    x = 70,499,482.02/9,161.48
  6. Step 6: Final answer
    x = 7,695.20

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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.