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Finding the Fourth Proportional to 9,803.01, 13,518.93 and 7,561.32

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Solution

The fourth proportional to 9,803.01, 13,518.93 and 7,561.32 is: 10,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,803.01 : 13,518.93 = 7,561.32 : x
  2. Step 2: Convert to fraction form
    9,803.01/13,518.93 = 7,561.32/x
  3. Step 3: Cross multiply
    9,803.01x = 13,518.93 × 7,561.32
  4. Step 4: Simplify right side
    9,803.01x = 102,220,955.79
  5. Step 5: Solve for x
    x = 102,220,955.79/9,803.01
  6. Step 6: Final answer
    x = 10,427.51

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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.