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Finding the Fourth Proportional to 9,703.58, 13,380.44 and 7,460.51

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Solution

The fourth proportional to 9,703.58, 13,380.44 and 7,460.51 is: 10,287.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,703.58 : 13,380.44 = 7,460.51 : x
  2. Step 2: Convert to fraction form
    9,703.58/13,380.44 = 7,460.51/x
  3. Step 3: Cross multiply
    9,703.58x = 13,380.44 × 7,460.51
  4. Step 4: Simplify right side
    9,703.58x = 99,824,802.22
  5. Step 5: Solve for x
    x = 99,824,802.22/9,703.58
  6. Step 6: Final answer
    x = 10,287.43

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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.