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Finding the Fourth Proportional to 9,810.61, 13,538.64 and 5,334.35

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Solution

The fourth proportional to 9,810.61, 13,538.64 and 5,334.35 is: 7,361.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,810.61 : 13,538.64 = 5,334.35 : x
  2. Step 2: Convert to fraction form
    9,810.61/13,538.64 = 5,334.35/x
  3. Step 3: Cross multiply
    9,810.61x = 13,538.64 × 5,334.35
  4. Step 4: Simplify right side
    9,810.61x = 72,219,844.28
  5. Step 5: Solve for x
    x = 72,219,844.28/9,810.61
  6. Step 6: Final answer
    x = 7,361.40

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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.