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Finding the Fourth Proportional to 7,038.63, 9,717.17 and 4,803.84

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Solution

The fourth proportional to 7,038.63, 9,717.17 and 4,803.84 is: 6,631.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.63 : 9,717.17 = 4,803.84 : x
  2. Step 2: Convert to fraction form
    7,038.63/9,717.17 = 4,803.84/x
  3. Step 3: Cross multiply
    7,038.63x = 9,717.17 × 4,803.84
  4. Step 4: Simplify right side
    7,038.63x = 46,679,705.91
  5. Step 5: Solve for x
    x = 46,679,705.91/7,038.63
  6. Step 6: Final answer
    x = 6,631.93

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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.