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Finding the Fourth Proportional to 9,909.40, 14,846.10 and 4,703.80

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Solution

The fourth proportional to 9,909.40, 14,846.10 and 4,703.80 is: 7,047.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,909.40 : 14,846.10 = 4,703.80 : x
  2. Step 2: Convert to fraction form
    9,909.40/14,846.10 = 4,703.80/x
  3. Step 3: Cross multiply
    9,909.40x = 14,846.10 × 4,703.80
  4. Step 4: Simplify right side
    9,909.40x = 69,833,085.18
  5. Step 5: Solve for x
    x = 69,833,085.18/9,909.40
  6. Step 6: Final answer
    x = 7,047.16

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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.