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Finding the Fourth Proportional to 6,555.60, 9,836.64 and 4,363.74

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Solution

The fourth proportional to 6,555.60, 9,836.64 and 4,363.74 is: 6,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,555.60 : 9,836.64 = 4,363.74 : x
  2. Step 2: Convert to fraction form
    6,555.60/9,836.64 = 4,363.74/x
  3. Step 3: Cross multiply
    6,555.60x = 9,836.64 × 4,363.74
  4. Step 4: Simplify right side
    6,555.60x = 42,924,539.43
  5. Step 5: Solve for x
    x = 42,924,539.43/6,555.60
  6. Step 6: Final answer
    x = 6,547.77

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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.