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Finding the Fourth Proportional to 9,834.32, 13,570.88 and 5,357.81

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Solution

The fourth proportional to 9,834.32, 13,570.88 and 5,357.81 is: 7,393.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.32 : 13,570.88 = 5,357.81 : x
  2. Step 2: Convert to fraction form
    9,834.32/13,570.88 = 5,357.81/x
  3. Step 3: Cross multiply
    9,834.32x = 13,570.88 × 5,357.81
  4. Step 4: Simplify right side
    9,834.32x = 72,710,203.71
  5. Step 5: Solve for x
    x = 72,710,203.71/9,834.32
  6. Step 6: Final answer
    x = 7,393.51

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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.