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Finding the Fourth Proportional to 9,315.81, 13,970.88 and 4,380.48

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Solution

The fourth proportional to 9,315.81, 13,970.88 and 4,380.48 is: 6,569.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,315.81 : 13,970.88 = 4,380.48 : x
  2. Step 2: Convert to fraction form
    9,315.81/13,970.88 = 4,380.48/x
  3. Step 3: Cross multiply
    9,315.81x = 13,970.88 × 4,380.48
  4. Step 4: Simplify right side
    9,315.81x = 61,199,160.42
  5. Step 5: Solve for x
    x = 61,199,160.42/9,315.81
  6. Step 6: Final answer
    x = 6,569.39

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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.