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Finding the Fourth Proportional to 6,530.02, 9,011.35 and 3,545.90

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Solution

The fourth proportional to 6,530.02, 9,011.35 and 3,545.90 is: 4,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.02 : 9,011.35 = 3,545.90 : x
  2. Step 2: Convert to fraction form
    6,530.02/9,011.35 = 3,545.90/x
  3. Step 3: Cross multiply
    6,530.02x = 9,011.35 × 3,545.90
  4. Step 4: Simplify right side
    6,530.02x = 31,953,364.48
  5. Step 5: Solve for x
    x = 31,953,364.48/6,530.02
  6. Step 6: Final answer
    x = 4,893.30

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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.