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Finding the Fourth Proportional to 9,848.68, 13,582.02 and 7,607.20

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Solution

The fourth proportional to 9,848.68, 13,582.02 and 7,607.20 is: 10,490.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,848.68 : 13,582.02 = 7,607.20 : x
  2. Step 2: Convert to fraction form
    9,848.68/13,582.02 = 7,607.20/x
  3. Step 3: Cross multiply
    9,848.68x = 13,582.02 × 7,607.20
  4. Step 4: Simplify right side
    9,848.68x = 103,321,142.54
  5. Step 5: Solve for x
    x = 103,321,142.54/9,848.68
  6. Step 6: Final answer
    x = 10,490.86

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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.