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Finding the Fourth Proportional to 9,985.57, 14,973.72 and 5,826.77

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Solution

The fourth proportional to 9,985.57, 14,973.72 and 5,826.77 is: 8,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,985.57 : 14,973.72 = 5,826.77 : x
  2. Step 2: Convert to fraction form
    9,985.57/14,973.72 = 5,826.77/x
  3. Step 3: Cross multiply
    9,985.57x = 14,973.72 × 5,826.77
  4. Step 4: Simplify right side
    9,985.57x = 87,248,422.48
  5. Step 5: Solve for x
    x = 87,248,422.48/9,985.57
  6. Step 6: Final answer
    x = 8,737.45

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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.