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Finding the Fourth Proportional to 9,710.16, 13,397.88 and 5,728.56

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Solution

The fourth proportional to 9,710.16, 13,397.88 and 5,728.56 is: 7,904.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,710.16 : 13,397.88 = 5,728.56 : x
  2. Step 2: Convert to fraction form
    9,710.16/13,397.88 = 5,728.56/x
  3. Step 3: Cross multiply
    9,710.16x = 13,397.88 × 5,728.56
  4. Step 4: Simplify right side
    9,710.16x = 76,750,559.45
  5. Step 5: Solve for x
    x = 76,750,559.45/9,710.16
  6. Step 6: Final answer
    x = 7,904.15

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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.