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Finding the Fourth Proportional to 6,501.16, 8,970.66 and 3,848.68

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Solution

The fourth proportional to 6,501.16, 8,970.66 and 3,848.68 is: 5,310.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,501.16 : 8,970.66 = 3,848.68 : x
  2. Step 2: Convert to fraction form
    6,501.16/8,970.66 = 3,848.68/x
  3. Step 3: Cross multiply
    6,501.16x = 8,970.66 × 3,848.68
  4. Step 4: Simplify right side
    6,501.16x = 34,525,199.73
  5. Step 5: Solve for x
    x = 34,525,199.73/6,501.16
  6. Step 6: Final answer
    x = 5,310.62

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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.