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Finding the Fourth Proportional to 9,470.64, 13,070.16 and 5,278.80

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Solution

The fourth proportional to 9,470.64, 13,070.16 and 5,278.80 is: 7,285.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,470.64 : 13,070.16 = 5,278.80 : x
  2. Step 2: Convert to fraction form
    9,470.64/13,070.16 = 5,278.80/x
  3. Step 3: Cross multiply
    9,470.64x = 13,070.16 × 5,278.80
  4. Step 4: Simplify right side
    9,470.64x = 68,994,760.61
  5. Step 5: Solve for x
    x = 68,994,760.61/9,470.64
  6. Step 6: Final answer
    x = 7,285.12

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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.