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Finding the Fourth Proportional to 7,038.40, 9,713.46 and 4,678.96

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Solution

The fourth proportional to 7,038.40, 9,713.46 and 4,678.96 is: 6,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.40 : 9,713.46 = 4,678.96 : x
  2. Step 2: Convert to fraction form
    7,038.40/9,713.46 = 4,678.96/x
  3. Step 3: Cross multiply
    7,038.40x = 9,713.46 × 4,678.96
  4. Step 4: Simplify right side
    7,038.40x = 45,448,890.80
  5. Step 5: Solve for x
    x = 45,448,890.80/7,038.40
  6. Step 6: Final answer
    x = 6,457.28

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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.