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Finding the Fourth Proportional to 9,976.46, 14,955.11 and 4,430.53

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Solution

The fourth proportional to 9,976.46, 14,955.11 and 4,430.53 is: 6,641.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.46 : 14,955.11 = 4,430.53 : x
  2. Step 2: Convert to fraction form
    9,976.46/14,955.11 = 4,430.53/x
  3. Step 3: Cross multiply
    9,976.46x = 14,955.11 × 4,430.53
  4. Step 4: Simplify right side
    9,976.46x = 66,258,966.58
  5. Step 5: Solve for x
    x = 66,258,966.58/9,976.46
  6. Step 6: Final answer
    x = 6,641.53

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Why These Related Problems?

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