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Finding the Fourth Proportional to 6,146.55, 8,470.98 and 4,465.01

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Solution

The fourth proportional to 6,146.55, 8,470.98 and 4,465.01 is: 6,153.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,146.55 : 8,470.98 = 4,465.01 : x
  2. Step 2: Convert to fraction form
    6,146.55/8,470.98 = 4,465.01/x
  3. Step 3: Cross multiply
    6,146.55x = 8,470.98 × 4,465.01
  4. Step 4: Simplify right side
    6,146.55x = 37,823,031.59
  5. Step 5: Solve for x
    x = 37,823,031.59/6,146.55
  6. Step 6: Final answer
    x = 6,153.54

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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.