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Finding the Fourth Proportional to 9,622.32, 13,275.06 and 5,641.98

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Solution

The fourth proportional to 9,622.32, 13,275.06 and 5,641.98 is: 7,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,622.32 : 13,275.06 = 5,641.98 : x
  2. Step 2: Convert to fraction form
    9,622.32/13,275.06 = 5,641.98/x
  3. Step 3: Cross multiply
    9,622.32x = 13,275.06 × 5,641.98
  4. Step 4: Simplify right side
    9,622.32x = 74,897,623.02
  5. Step 5: Solve for x
    x = 74,897,623.02/9,622.32
  6. Step 6: Final answer
    x = 7,783.74

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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.