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Finding the Fourth Proportional to 9,833.61, 13,570.70 and 5,357.51

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Solution

The fourth proportional to 9,833.61, 13,570.70 and 5,357.51 is: 7,393.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.61 : 13,570.70 = 5,357.51 : x
  2. Step 2: Convert to fraction form
    9,833.61/13,570.70 = 5,357.51/x
  3. Step 3: Cross multiply
    9,833.61x = 13,570.70 × 5,357.51
  4. Step 4: Simplify right side
    9,833.61x = 72,705,066.32
  5. Step 5: Solve for x
    x = 72,705,066.32/9,833.61
  6. Step 6: Final answer
    x = 7,393.53

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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.