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Finding the Fourth Proportional to 9,671.60, 13,345.85 and 5,422.30

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Solution

The fourth proportional to 9,671.60, 13,345.85 and 5,422.30 is: 7,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.60 : 13,345.85 = 5,422.30 : x
  2. Step 2: Convert to fraction form
    9,671.60/13,345.85 = 5,422.30/x
  3. Step 3: Cross multiply
    9,671.60x = 13,345.85 × 5,422.30
  4. Step 4: Simplify right side
    9,671.60x = 72,365,182.65
  5. Step 5: Solve for x
    x = 72,365,182.65/9,671.60
  6. Step 6: Final answer
    x = 7,482.23

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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.