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Finding the Fourth Proportional to 9,543.68, 14,315.52 and 2,970.28

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Solution

The fourth proportional to 9,543.68, 14,315.52 and 2,970.28 is: 4,455.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,543.68 : 14,315.52 = 2,970.28 : x
  2. Step 2: Convert to fraction form
    9,543.68/14,315.52 = 2,970.28/x
  3. Step 3: Cross multiply
    9,543.68x = 14,315.52 × 2,970.28
  4. Step 4: Simplify right side
    9,543.68x = 42,521,102.75
  5. Step 5: Solve for x
    x = 42,521,102.75/9,543.68
  6. Step 6: Final answer
    x = 4,455.42

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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.