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Finding the Fourth Proportional to 6,337.60, 9,487.53 and 4,701.40

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Solution

The fourth proportional to 6,337.60, 9,487.53 and 4,701.40 is: 7,038.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.60 : 9,487.53 = 4,701.40 : x
  2. Step 2: Convert to fraction form
    6,337.60/9,487.53 = 4,701.40/x
  3. Step 3: Cross multiply
    6,337.60x = 9,487.53 × 4,701.40
  4. Step 4: Simplify right side
    6,337.60x = 44,604,673.54
  5. Step 5: Solve for x
    x = 44,604,673.54/6,337.60
  6. Step 6: Final answer
    x = 7,038.10

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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.