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Finding the Fourth Proportional to 7,123.04, 9,820.32 and 5,445.44

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Solution

The fourth proportional to 7,123.04, 9,820.32 and 5,445.44 is: 7,507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,123.04 : 9,820.32 = 5,445.44 : x
  2. Step 2: Convert to fraction form
    7,123.04/9,820.32 = 5,445.44/x
  3. Step 3: Cross multiply
    7,123.04x = 9,820.32 × 5,445.44
  4. Step 4: Simplify right side
    7,123.04x = 53,475,963.34
  5. Step 5: Solve for x
    x = 53,475,963.34/7,123.04
  6. Step 6: Final answer
    x = 7,507.46

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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.