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Finding the Fourth Proportional to 6,566.40, 9,835.92 and 4,368.48

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Solution

The fourth proportional to 6,566.40, 9,835.92 and 4,368.48 is: 6,543.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.40 : 9,835.92 = 4,368.48 : x
  2. Step 2: Convert to fraction form
    6,566.40/9,835.92 = 4,368.48/x
  3. Step 3: Cross multiply
    6,566.40x = 9,835.92 × 4,368.48
  4. Step 4: Simplify right side
    6,566.40x = 42,968,019.80
  5. Step 5: Solve for x
    x = 42,968,019.80/6,566.40
  6. Step 6: Final answer
    x = 6,543.62

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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.