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Finding the Fourth Proportional to 9,710.37, 13,398.93 and 5,460.84

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Solution

The fourth proportional to 9,710.37, 13,398.93 and 5,460.84 is: 7,535.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.37 : 13,398.93 = 5,460.84 : x
  2. Step 2: Convert to fraction form
    9,710.37/13,398.93 = 5,460.84/x
  3. Step 3: Cross multiply
    9,710.37x = 13,398.93 × 5,460.84
  4. Step 4: Simplify right side
    9,710.37x = 73,169,412.90
  5. Step 5: Solve for x
    x = 73,169,412.90/9,710.37
  6. Step 6: Final answer
    x = 7,535.18

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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.