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Finding the Fourth Proportional to 7,046.32, 9,708.26 and 4,652.03

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Solution

The fourth proportional to 7,046.32, 9,708.26 and 4,652.03 is: 6,409.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.32 : 9,708.26 = 4,652.03 : x
  2. Step 2: Convert to fraction form
    7,046.32/9,708.26 = 4,652.03/x
  3. Step 3: Cross multiply
    7,046.32x = 9,708.26 × 4,652.03
  4. Step 4: Simplify right side
    7,046.32x = 45,163,068.23
  5. Step 5: Solve for x
    x = 45,163,068.23/7,046.32
  6. Step 6: Final answer
    x = 6,409.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.