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Finding the Fourth Proportional to 7,038.47, 9,711.36 and 4,312.26

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Solution

The fourth proportional to 7,038.47, 9,711.36 and 4,312.26 is: 5,949.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.47 : 9,711.36 = 4,312.26 : x
  2. Step 2: Convert to fraction form
    7,038.47/9,711.36 = 4,312.26/x
  3. Step 3: Cross multiply
    7,038.47x = 9,711.36 × 4,312.26
  4. Step 4: Simplify right side
    7,038.47x = 41,877,909.27
  5. Step 5: Solve for x
    x = 41,877,909.27/7,038.47
  6. Step 6: Final answer
    x = 5,949.86

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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.