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Finding the Fourth Proportional to 9,840.51, 14,695.54 and 8,648.19

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Solution

The fourth proportional to 9,840.51, 14,695.54 and 8,648.19 is: 12,914.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,840.51 : 14,695.54 = 8,648.19 : x
  2. Step 2: Convert to fraction form
    9,840.51/14,695.54 = 8,648.19/x
  3. Step 3: Cross multiply
    9,840.51x = 14,695.54 × 8,648.19
  4. Step 4: Simplify right side
    9,840.51x = 127,089,800.45
  5. Step 5: Solve for x
    x = 127,089,800.45/9,840.51
  6. Step 6: Final answer
    x = 12,914.96

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.