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Finding the Fourth Proportional to 7,104.66, 9,802.46 and 4,586.88

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Solution

The fourth proportional to 7,104.66, 9,802.46 and 4,586.88 is: 6,328.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,104.66 : 9,802.46 = 4,586.88 : x
  2. Step 2: Convert to fraction form
    7,104.66/9,802.46 = 4,586.88/x
  3. Step 3: Cross multiply
    7,104.66x = 9,802.46 × 4,586.88
  4. Step 4: Simplify right side
    7,104.66x = 44,962,719.19
  5. Step 5: Solve for x
    x = 44,962,719.19/7,104.66
  6. Step 6: Final answer
    x = 6,328.62

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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.