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Finding the Fourth Proportional to 6,436.60, 9,646.80 and 4,703.20

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Solution

The fourth proportional to 6,436.60, 9,646.80 and 4,703.20 is: 7,048.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,436.60 : 9,646.80 = 4,703.20 : x
  2. Step 2: Convert to fraction form
    6,436.60/9,646.80 = 4,703.20/x
  3. Step 3: Cross multiply
    6,436.60x = 9,646.80 × 4,703.20
  4. Step 4: Simplify right side
    6,436.60x = 45,370,829.76
  5. Step 5: Solve for x
    x = 45,370,829.76/6,436.60
  6. Step 6: Final answer
    x = 7,048.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.