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Finding the Fourth Proportional to 9,030.78, 13,546.16 and 4,645.23

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Solution

The fourth proportional to 9,030.78, 13,546.16 and 4,645.23 is: 6,967.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,030.78 : 13,546.16 = 4,645.23 : x
  2. Step 2: Convert to fraction form
    9,030.78/13,546.16 = 4,645.23/x
  3. Step 3: Cross multiply
    9,030.78x = 13,546.16 × 4,645.23
  4. Step 4: Simplify right side
    9,030.78x = 62,925,005.59
  5. Step 5: Solve for x
    x = 62,925,005.59/9,030.78
  6. Step 6: Final answer
    x = 6,967.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.