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Finding the Fourth Proportional to 6,848.37, 9,457.15 and 5,040.00

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Solution

The fourth proportional to 6,848.37, 9,457.15 and 5,040.00 is: 6,959.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,848.37 : 9,457.15 = 5,040.00 : x
  2. Step 2: Convert to fraction form
    6,848.37/9,457.15 = 5,040.00/x
  3. Step 3: Cross multiply
    6,848.37x = 9,457.15 × 5,040.00
  4. Step 4: Simplify right side
    6,848.37x = 47,664,002.71
  5. Step 5: Solve for x
    x = 47,664,002.71/6,848.37
  6. Step 6: Final answer
    x = 6,959.90

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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.