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Finding the Fourth Proportional to 9,868.36, 13,597.86 and 7,345.48

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Solution

The fourth proportional to 9,868.36, 13,597.86 and 7,345.48 is: 10,121.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,868.36 : 13,597.86 = 7,345.48 : x
  2. Step 2: Convert to fraction form
    9,868.36/13,597.86 = 7,345.48/x
  3. Step 3: Cross multiply
    9,868.36x = 13,597.86 × 7,345.48
  4. Step 4: Simplify right side
    9,868.36x = 99,882,808.67
  5. Step 5: Solve for x
    x = 99,882,808.67/9,868.36
  6. Step 6: Final answer
    x = 10,121.52

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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.