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Finding the Fourth Proportional to 7,038.71, 9,704.61 and 5,148.77

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Solution

The fourth proportional to 7,038.71, 9,704.61 and 5,148.77 is: 7,098.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,038.71 : 9,704.61 = 5,148.77 : x
  2. Step 2: Convert to fraction form
    7,038.71/9,704.61 = 5,148.77/x
  3. Step 3: Cross multiply
    7,038.71x = 9,704.61 × 5,148.77
  4. Step 4: Simplify right side
    7,038.71x = 49,966,804.83
  5. Step 5: Solve for x
    x = 49,966,804.83/7,038.71
  6. Step 6: Final answer
    x = 7,098.86

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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.