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Finding the Fourth Proportional to 9,298.65, 12,830.84 and 5,470.46

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Solution

The fourth proportional to 9,298.65, 12,830.84 and 5,470.46 is: 7,548.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.65 : 12,830.84 = 5,470.46 : x
  2. Step 2: Convert to fraction form
    9,298.65/12,830.84 = 5,470.46/x
  3. Step 3: Cross multiply
    9,298.65x = 12,830.84 × 5,470.46
  4. Step 4: Simplify right side
    9,298.65x = 70,190,505.48
  5. Step 5: Solve for x
    x = 70,190,505.48/9,298.65
  6. Step 6: Final answer
    x = 7,548.46

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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.