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Finding the Fourth Proportional to 9,907.32, 13,671.54 and 5,430.18

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Solution

The fourth proportional to 9,907.32, 13,671.54 and 5,430.18 is: 7,493.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,907.32 : 13,671.54 = 5,430.18 : x
  2. Step 2: Convert to fraction form
    9,907.32/13,671.54 = 5,430.18/x
  3. Step 3: Cross multiply
    9,907.32x = 13,671.54 × 5,430.18
  4. Step 4: Simplify right side
    9,907.32x = 74,238,923.08
  5. Step 5: Solve for x
    x = 74,238,923.08/9,907.32
  6. Step 6: Final answer
    x = 7,493.34

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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.