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Finding the Fourth Proportional to 9,836.64, 13,574.56 and 5,360.32

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Solution

The fourth proportional to 9,836.64, 13,574.56 and 5,360.32 is: 7,397.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.64 : 13,574.56 = 5,360.32 : x
  2. Step 2: Convert to fraction form
    9,836.64/13,574.56 = 5,360.32/x
  3. Step 3: Cross multiply
    9,836.64x = 13,574.56 × 5,360.32
  4. Step 4: Simplify right side
    9,836.64x = 72,763,985.46
  5. Step 5: Solve for x
    x = 72,763,985.46/9,836.64
  6. Step 6: Final answer
    x = 7,397.24

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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.