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Finding the Fourth Proportional to 9,702.12, 13,387.32 and 5,509.56

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Solution

The fourth proportional to 9,702.12, 13,387.32 and 5,509.56 is: 7,602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,702.12 : 13,387.32 = 5,509.56 : x
  2. Step 2: Convert to fraction form
    9,702.12/13,387.32 = 5,509.56/x
  3. Step 3: Cross multiply
    9,702.12x = 13,387.32 × 5,509.56
  4. Step 4: Simplify right side
    9,702.12x = 73,758,242.78
  5. Step 5: Solve for x
    x = 73,758,242.78/9,702.12
  6. Step 6: Final answer
    x = 7,602.28

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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.